87570201264 has 160 divisors (see below), whose sum is σ = 279541108224. Its totient is φ = 23003136000.

The previous prime is 87570201233. The next prime is 87570201317. The reversal of 87570201264 is 46210207578.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1056432 + ... + 1136304.

Almost surely, 2^87570201264 is an apocalyptic number.

87570201264 is a gapful number since it is divisible by the number (84) 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 87570201264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139770554112).

87570201264 is an abundant number, since it is smaller than the sum of its proper divisors (191970906960).

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

87570201264 is a wasteful number, since it uses less digits than its factorization.

87570201264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80155 (or 80149 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 87570201264 in words is "eighty-seven billion, five hundred seventy million, two hundred one thousand, two hundred sixty-four".