11239256250000 has 675 divisors, whose sum is σ = 40936795934881. Its totient is φ = 2977020000000.

The previous prime is 11239256249983. The next prime is 11239256250011. The reversal of 11239256250000 is 5265293211.

It is a happy number.

The square root of 11239256250000 is 3352500.

It is a perfect power (a square), and thus also a powerful number.

11239256250000 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 9 + 25 + 625 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 526884353424 + 10712371896576 = 725868^2 + 3272976^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 75431249926 + ... + 75431250074.

Almost surely, 2^{11239256250000} is an apocalyptic number.

11239256250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11239256250000 is the 3352500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11239256250000

11239256250000 is an abundant number, since it is smaller than the sum of its proper divisors (29697539684881).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11239256250000 is an frugal number, since it uses more digits than its factorization.

11239256250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 11239256250000 by its sum of digits (36), we get a square (404613225000000 = 20115000²).

11239256250000 divided by its sum of digits (36) gives a square (312201562500 = 558750²).

11239256250000 divided by its product of nonzero digits (32400) gives a square (346890625 = 18625²).

The spelling of 11239256250000 in words is "eleven trillion, two hundred thirty-nine billion, two hundred fifty-six million, two hundred fifty thousand".