87056631648 has 432 divisors, whose sum is σ = 294156678816. Its totient is φ = 24346828800.

The previous prime is 87056631619. The next prime is 87056631679. The reversal of 87056631648 is 84613665078.

87056631648 is a `hidden beast` number, since 8 + 7 + 0 + 566 + 31 + 6 + 48 = 666.

It is a super-2 number, since 2×87056631648² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87056631594 and 87056631603.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 146806840 + ... + 146807432.

It is an arithmetic number, because the mean of its divisors is an integer number (680918238).

Almost surely, 2^87056631648 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 87056631648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147078339408).

87056631648 is an abundant number, since it is smaller than the sum of its proper divisors (207100047168).

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

87056631648 is a wasteful number, since it uses less digits than its factorization.

87056631648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 87056631648 in words is "eighty-seven billion, fifty-six million, six hundred thirty-one thousand, six hundred forty-eight".