87931122048 has 1920 divisors, whose sum is σ = 378198374400. Its totient is φ = 19707494400.

The previous prime is 87931121989. The next prime is 87931122073. The reversal of 87931122048 is 84022113978.

It is a happy number.

87931122048 is a `hidden beast` number, since 8 + 79 + 311 + 220 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 87931121994 and 87931122012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2836487793 + ... + 2836487823.

It is an arithmetic number, because the mean of its divisors is an integer number (196978320).

Almost surely, 2^87931122048 is an apocalyptic number.

87931122048 is a gapful number since it is divisible by the number (88) 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 87931122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189099187200).

87931122048 is an abundant number, since it is smaller than the sum of its proper divisors (290267252352).

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

87931122048 is a wasteful number, since it uses less digits than its factorization.

87931122048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 87931122048 in words is "eighty-seven billion, nine hundred thirty-one million, one hundred twenty-two thousand, forty-eight".