87312264622080 has 416 divisors, whose sum is σ = 285406753167360. Its totient is φ = 22784964034560.

The previous prime is 87312264622067. The next prime is 87312264622097. The reversal of 87312264622080 is 8022646221378.

It is a happy number.

It is a super-2 number, since 2×87312264622080² (a number of 29 digits) contains 22 as substring.

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, 548395285 + ... + 548554475.

Almost surely, 2^{87312264622080} is an apocalyptic number.

87312264622080 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 87312264622080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142703376583680).

87312264622080 is an abundant number, since it is smaller than the sum of its proper divisors (198094488545280).

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

87312264622080 is a wasteful number, since it uses less digits than its factorization.

87312264622080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159415 (or 159393 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 87312264622080 in words is "eighty-seven trillion, three hundred twelve billion, two hundred sixty-four million, six hundred twenty-two thousand, eighty".