87015548928 has 576 divisors, whose sum is σ = 304507607040. Its totient is φ = 21589032960.

The previous prime is 87015548911. The next prime is 87015548953. The reversal of 87015548928 is 82984551078.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119690901 + ... + 119691627.

It is an arithmetic number, because the mean of its divisors is an integer number (528659040).

Almost surely, 2^87015548928 is an apocalyptic number.

87015548928 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 87015548928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152253803520).

87015548928 is an abundant number, since it is smaller than the sum of its proper divisors (217492058112).

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

87015548928 is a wasteful number, since it uses less digits than its factorization.

87015548928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 57.

The spelling of 87015548928 in words is "eighty-seven billion, fifteen million, five hundred forty-eight thousand, nine hundred twenty-eight".