87879969920 has 128 divisors (see below), whose sum is σ = 214318923840. Its totient is φ = 34445758464.

The previous prime is 87879969913. The next prime is 87879969929. The reversal of 87879969920 is 2996997878.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×87879969920² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87879969929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50302487 + ... + 50304233.

Almost surely, 2^87879969920 is an apocalyptic number.

87879969920 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 87879969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107159461920).

87879969920 is an abundant number, since it is smaller than the sum of its proper divisors (126438953920).

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

87879969920 is a wasteful number, since it uses less digits than its factorization.

87879969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 74.

The spelling of 87879969920 in words is "eighty-seven billion, eight hundred seventy-nine million, nine hundred sixty-nine thousand, nine hundred twenty".