11655955080000 has 2800 divisors, whose sum is σ = 56686084646400. Its totient is φ = 2293608960000.

The previous prime is 11655955079947. The next prime is 11655955080031. The reversal of 11655955080000 is 8055955611.

11655955080000 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 595 + 50 + 8 + 0 + 0 + 0 + 0 = 666.

11655955080000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2800).

It is a super-2 number, since 2×11655955080000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 4740118771 + ... + 4740121229.

Almost surely, 2^{11655955080000} is an apocalyptic number.

11655955080000 is a gapful number since it is divisible by the number (10) 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 11655955080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28343042323200).

11655955080000 is an abundant number, since it is smaller than the sum of its proper divisors (45030129566400).

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

11655955080000 is a wasteful number, since it uses less digits than its factorization.

11655955080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 45.

The spelling of 11655955080000 in words is "eleven trillion, six hundred fifty-five billion, nine hundred fifty-five million, eighty thousand".