11390625000000 has 637 divisors, whose sum is σ = 42361755336391. Its totient is φ = 3037500000000.

The previous prime is 11390624999969. The next prime is 11390625000023. The reversal of 11390625000000 is 52609311.

The square root of 11390625000000 is 3375000.

The cubic root of 11390625000000 is 22500.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

11390625000000 is a `hidden beast` number, since 1 + 1 + 39 + 0 + 625 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6444733667904 + 4945891332096 = 2538648^2 + 2223936^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 90 ways as a sum of consecutive naturals, for example, 2278124999998 + ... + 2278125000002.

Almost surely, 2^{11390625000000} is an apocalyptic number.

11390625000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11390625000000 is the 3375000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11390625000000

11390625000000 is an abundant number, since it is smaller than the sum of its proper divisors (30971130336391).

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

11390625000000 is an frugal number, since it uses more digits than its factorization.

11390625000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Multiplying 11390625000000 by its sum of digits (27), we get a cube (307546875000000 = 67500³).

11390625000000 divided by its sum of digits (27) gives a cube (421875000000 = 7500³).

Adding to 11390625000000 its reverse (52609311), we get a palindrome (11390677609311).

The spelling of 11390625000000 in words is "eleven trillion, three hundred ninety billion, six hundred twenty-five million", and thus it is an aban number.