87145888920 has 128 divisors (see below), whose sum is σ = 279404121600. Its totient is φ = 21667444736.

The previous prime is 87145888913. The next prime is 87145888931. The reversal of 87145888920 is 2988854178.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18661 + ... + 417899.

It is an arithmetic number, because the mean of its divisors is an integer number (2182844700).

Almost surely, 2^87145888920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87145888920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139702060800).

87145888920 is an abundant number, since it is smaller than the sum of its proper divisors (192258232680).

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

87145888920 is a wasteful number, since it uses less digits than its factorization.

87145888920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399377 (or 399373 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 60.

The spelling of 87145888920 in words is "eighty-seven billion, one hundred forty-five million, eight hundred eighty-eight thousand, nine hundred twenty".