87245613504 has 252 divisors, whose sum is σ = 303603288144. Its totient is φ = 23460691968.

The previous prime is 87245613493. The next prime is 87245613571. The reversal of 87245613504 is 40531654278.

87245613504 is a `hidden beast` number, since 8 + 7 + 24 + 5 + 613 + 5 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×87245613504² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87245613504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1127812 + ... + 1202684.

Almost surely, 2^87245613504 is an apocalyptic number.

87245613504 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 87245613504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151801644072).

87245613504 is an abundant number, since it is smaller than the sum of its proper divisors (216357674640).

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

87245613504 is a wasteful number, since it uses less digits than its factorization.

87245613504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74932 (or 74902 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 87245613504 in words is "eighty-seven billion, two hundred forty-five million, six hundred thirteen thousand, five hundred four".