11790125448900 has 36 divisors (see below), whose sum is σ = 34112762966352. Its totient is φ = 3144033452960.

The previous prime is 11790125448851. The next prime is 11790125448931. The reversal of 11790125448900 is 984452109711.

It is a super-2 number, since 2×11790125448900² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19650208782 + ... + 19650209381.

Almost surely, 2^{11790125448900} is an apocalyptic number.

11790125448900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11790125448900 is an abundant number, since it is smaller than the sum of its proper divisors (22322637517452).

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

11790125448900 is a wasteful number, since it uses less digits than its factorization.

11790125448900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39300418180 (or 39300418173 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 11790125448900 in words is "eleven trillion, seven hundred ninety billion, one hundred twenty-five million, four hundred forty-eight thousand, nine hundred".