87962344733088 has 360 divisors, whose sum is σ = 303910256413764. Its totient is φ = 24883262208000.

The previous prime is 87962344732979. The next prime is 87962344733119. The reversal of 87962344733088 is 88033744326978.

87962344733088 is a `hidden beast` number, since 8 + 7 + 96 + 2 + 34 + 473 + 30 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87695208743184 + 267135989904 = 9364572^2 + 516852^2 .

It is a super-2 number, since 2×87962344733088² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9399228 + ... + 16256388.

Almost surely, 2^{87962344733088} 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 87962344733088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151955128206882).

87962344733088 is an abundant number, since it is smaller than the sum of its proper divisors (215947911680676).

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

87962344733088 is a wasteful number, since it uses less digits than its factorization.

87962344733088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6857298 (or 6857274 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 87962344733088 in words is "eighty-seven trillion, nine hundred sixty-two billion, three hundred forty-four million, seven hundred thirty-three thousand, eighty-eight".