87371857706112 has 1536 divisors, whose sum is σ = 325284621742080. Its totient is φ = 22775366025216.

The previous prime is 87371857706083. The next prime is 87371857706143. The reversal of 87371857706112 is 21160775817378.

87371857706112 is a `hidden beast` number, since 8 + 7 + 3 + 7 + 1 + 8 + 5 + 7 + 7 + 0 + 611 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87371857706112.

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 191 ways as a sum of consecutive naturals, for example, 21804804013 + ... + 21804808019.

It is an arithmetic number, because the mean of its divisors is an integer number (211773842280).

Almost surely, 2^{87371857706112} 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 87371857706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162642310871040).

87371857706112 is an abundant number, since it is smaller than the sum of its proper divisors (237912764035968).

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

87371857706112 is a wasteful number, since it uses less digits than its factorization.

87371857706112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 27659520, while the sum is 63.

The spelling of 87371857706112 in words is "eighty-seven trillion, three hundred seventy-one billion, eight hundred fifty-seven million, seven hundred six thousand, one hundred twelve".