87961805712 has 480 divisors, whose sum is σ = 285124250880. Its totient is φ = 25937049600.

The previous prime is 87961805669. The next prime is 87961805731. The reversal of 87961805712 is 21750816978.

87961805712 is a `hidden beast` number, since 8 + 7 + 9 + 61 + 8 + 0 + 571 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 508449658 + ... + 508449830.

It is an arithmetic number, because the mean of its divisors is an integer number (594008856).

Almost surely, 2^87961805712 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 87961805712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142562125440).

87961805712 is an abundant number, since it is smaller than the sum of its proper divisors (197162445168).

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

87961805712 is a wasteful number, since it uses less digits than its factorization.

87961805712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 87961805712 in words is "eighty-seven billion, nine hundred sixty-one million, eight hundred five thousand, seven hundred twelve".