87047685144 has 192 divisors, whose sum is σ = 272360774400. Its totient is φ = 24601335552.

The previous prime is 87047685113. The next prime is 87047685157. The reversal of 87047685144 is 44158674078.

87047685144 is a `hidden beast` number, since 87 + 0 + 47 + 6 + 8 + 514 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49826079 + ... + 49827825.

It is an arithmetic number, because the mean of its divisors is an integer number (1418545700).

Almost surely, 2^87047685144 is an apocalyptic number.

87047685144 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 87047685144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136180387200).

87047685144 is an abundant number, since it is smaller than the sum of its proper divisors (185313089256).

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

87047685144 is a wasteful number, since it uses less digits than its factorization.

87047685144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 87047685144 in words is "eighty-seven billion, forty-seven million, six hundred eighty-five thousand, one hundred forty-four".