9156977786880 has 3072 divisors, whose sum is σ = 42869830348800. Its totient is φ = 1819300331520.

The previous prime is 9156977786867. The next prime is 9156977786897. The reversal of 9156977786880 is 886877796519.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 9156977786880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88902696909 + ... + 88902697011.

It is an arithmetic number, because the mean of its divisors is an integer number (13955022900).

Almost surely, 2^{9156977786880} is an apocalyptic number.

9156977786880 is a gapful number since it is divisible by the number (90) 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 9156977786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21434915174400).

9156977786880 is an abundant number, since it is smaller than the sum of its proper divisors (33712852561920).

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

9156977786880 is a wasteful number, since it uses less digits than its factorization.

9156977786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2560481280, while the sum is 81.

The spelling of 9156977786880 in words is "nine trillion, one hundred fifty-six billion, nine hundred seventy-seven million, seven hundred eighty-six thousand, eight hundred eighty".