11132098790400 has 1485 divisors, whose sum is σ = 48096092256597. Its totient is φ = 2536792473600.

The previous prime is 11132098790381. The next prime is 11132098790537. The reversal of 11132098790400 is 409789023111.

The square root of 11132098790400 is 3336480.

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

11132098790400 is a `hidden beast` number, since 111 + 320 + 98 + 7 + 90 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4007555564544 + 7124543225856 = 2001888^2 + 2669184^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 33631718235 + ... + 33631718565.

Almost surely, 2^{11132098790400} is an apocalyptic number.

11132098790400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11132098790400 is the 3336480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132098790400

11132098790400 is an abundant number, since it is smaller than the sum of its proper divisors (36963993466197).

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

11132098790400 is an frugal number, since it uses more digits than its factorization.

11132098790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

It can be divided in two parts, 1113209 and 8790400, that added together give a square (9903609 = 3147²).

The spelling of 11132098790400 in words is "eleven trillion, one hundred thirty-two billion, ninety-eight million, seven hundred ninety thousand, four hundred".