87786923313024 has 2560 divisors, whose sum is σ = 335004139008000. Its totient is φ = 22493775790080.

The previous prime is 87786923312999. The next prime is 87786923313077. The reversal of 87786923313024 is 42031332968778.

It is a super-3 number, since 3×87786923313024³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 39138172447 + ... + 39138174689.

It is an arithmetic number, because the mean of its divisors is an integer number (130860991800).

Almost surely, 2^{87786923313024} 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 87786923313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167502069504000).

87786923313024 is an abundant number, since it is smaller than the sum of its proper divisors (247217215694976).

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

87786923313024 is a wasteful number, since it uses less digits than its factorization.

87786923313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 87786923313024 in words is "eighty-seven trillion, seven hundred eighty-six billion, nine hundred twenty-three million, three hundred thirteen thousand, twenty-four".