87809641920 has 2016 divisors, whose sum is σ = 427307166720. Its totient is φ = 16605388800.

The previous prime is 87809641897. The next prime is 87809641939. The reversal of 87809641920 is 2914690878.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1236755485 + ... + 1236755555.

It is an arithmetic number, because the mean of its divisors is an integer number (211957920).

Almost surely, 2^87809641920 is an apocalyptic number.

87809641920 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 87809641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213653583360).

87809641920 is an abundant number, since it is smaller than the sum of its proper divisors (339497524800).

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

87809641920 is a wasteful number, since it uses less digits than its factorization.

87809641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 87809641920 in words is "eighty-seven billion, eight hundred nine million, six hundred forty-one thousand, nine hundred twenty".