87849457920 has 648 divisors, whose sum is σ = 372229079040. Its totient is φ = 19020718080.

The previous prime is 87849457909. The next prime is 87849457967. The reversal of 87849457920 is 2975494878.

87849457920 is a `hidden beast` number, since 8 + 7 + 8 + 494 + 57 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10721025 + ... + 10729215.

Almost surely, 2^87849457920 is an apocalyptic number.

87849457920 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 87849457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186114539520).

87849457920 is an abundant number, since it is smaller than the sum of its proper divisors (284379621120).

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

87849457920 is a wasteful number, since it uses less digits than its factorization.

87849457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8251 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 87849457920 in words is "eighty-seven billion, eight hundred forty-nine million, four hundred fifty-seven thousand, nine hundred twenty".