11772400554096 has 640 divisors, whose sum is σ = 40091524644864. Its totient is φ = 2891636858880.

The previous prime is 11772400554043. The next prime is 11772400554151. The reversal of 11772400554096 is 69045500427711.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1429899996 + ... + 1429908228.

Almost surely, 2^{11772400554096} is an apocalyptic number.

11772400554096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11772400554096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20045762322432).

11772400554096 is an abundant number, since it is smaller than the sum of its proper divisors (28319124090768).

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

11772400554096 is a wasteful number, since it uses less digits than its factorization.

11772400554096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8661 (or 8655 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 11772400554096 in words is "eleven trillion, seven hundred seventy-two billion, four hundred million, five hundred fifty-four thousand, ninety-six".