87311341800630 has 192 divisors, whose sum is σ = 240840563820480. Its totient is φ = 21869914816512.

The previous prime is 87311341800623. The next prime is 87311341800671. The reversal of 87311341800630 is 3600814311378.

87311341800630 is a `hidden beast` number, since 8 + 7 + 3 + 1 + 1 + 3 + 4 + 1 + 8 + 0 + 0 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4333704217 + ... + 4333724363.

It is an arithmetic number, because the mean of its divisors is an integer number (1254377936565).

Almost surely, 2^{87311341800630} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87311341800630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120420281910240).

87311341800630 is an abundant number, since it is smaller than the sum of its proper divisors (153529222019850).

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

87311341800630 is a wasteful number, since it uses less digits than its factorization.

87311341800630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25663 (or 25660 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 87311341800630 in words is "eighty-seven trillion, three hundred eleven billion, three hundred forty-one million, eight hundred thousand, six hundred thirty".