87797307121920 has 864 divisors, whose sum is σ = 353779051901184. Its totient is φ = 20032124682240.

The previous prime is 87797307121897. The next prime is 87797307121949. The reversal of 87797307121920 is 2912170379778.

87797307121920 is a `hidden beast` number, since 8 + 7 + 7 + 97 + 307 + 1 + 219 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 260494629 + ... + 260831451.

It is an arithmetic number, because the mean of its divisors is an integer number (409466495256).

Almost surely, 2^{87797307121920} is an apocalyptic number.

87797307121920 is a gapful number since it is divisible by the number (80) 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 87797307121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176889525950592).

87797307121920 is an abundant number, since it is smaller than the sum of its proper divisors (265981744779264).

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

87797307121920 is a wasteful number, since it uses less digits than its factorization.

87797307121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336900 (or 336861 counting only the distinct ones).

The product of its (nonzero) digits is 18670176, while the sum is 63.

The spelling of 87797307121920 in words is "eighty-seven trillion, seven hundred ninety-seven billion, three hundred seven million, one hundred twenty-one thousand, nine hundred twenty".