87304255402464 has 192 divisors, whose sum is σ = 268598985984000. Its totient is φ = 27512205465600.

The previous prime is 87304255402423. The next prime is 87304255402471. The reversal of 87304255402464 is 46420455240378.

It is a happy number.

87304255402464 is a `hidden beast` number, since 8 + 7 + 3 + 0 + 4 + 2 + 554 + 0 + 24 + 64 = 666.

It is a super-2 number, since 2×87304255402464² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 87304255402464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2311864 + ... + 13414664.

It is an arithmetic number, because the mean of its divisors is an integer number (1398953052000).

Almost surely, 2^{87304255402464} 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 87304255402464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134299492992000).

87304255402464 is an abundant number, since it is smaller than the sum of its proper divisors (181294730581536).

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

87304255402464 is a wasteful number, since it uses less digits than its factorization.

87304255402464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11103318 (or 11103304 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 87304255402464 in words is "eighty-seven trillion, three hundred four billion, two hundred fifty-five million, four hundred two thousand, four hundred sixty-four".