87390693621504 has 4608 divisors, whose sum is σ = 359720976384000. Its totient is φ = 20729656442880.

The previous prime is 87390693621499. The next prime is 87390693621521. The reversal of 87390693621504 is 40512639609378.

87390693621504 is a `hidden beast` number, since 8 + 7 + 3 + 9 + 0 + 69 + 3 + 62 + 1 + 504 = 666.

It is a super-2 number, since 2×87390693621504² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1432634321634 + ... + 1432634321694.

It is an arithmetic number, because the mean of its divisors is an integer number (78064448000).

It is a 1-persistent number, because it is pandigital, but 2⋅87390693621504 = 174781387243008 is not.

Almost surely, 2^{87390693621504} is an apocalyptic number.

87390693621504 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 87390693621504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179860488192000).

87390693621504 is an abundant number, since it is smaller than the sum of its proper divisors (272330282762496).

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

87390693621504 is a wasteful number, since it uses less digits than its factorization.

87390693621504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 87390693621504 in words is "eighty-seven trillion, three hundred ninety billion, six hundred ninety-three million, six hundred twenty-one thousand, five hundred four".