87140244102912 has 4032 divisors, whose sum is σ = 387193808848896. Its totient is φ = 18793066659840.

The previous prime is 87140244102881. The next prime is 87140244102931. The reversal of 87140244102912 is 21920144204178.

87140244102912 is a `hidden beast` number, since 8 + 7 + 140 + 2 + 4 + 410 + 2 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 73042953388 + ... + 73042954580.

It is an arithmetic number, because the mean of its divisors is an integer number (96030210528).

Almost surely, 2^{87140244102912} 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 87140244102912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193596904424448).

87140244102912 is an abundant number, since it is smaller than the sum of its proper divisors (300053564745984).

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

87140244102912 is a wasteful number, since it uses less digits than its factorization.

87140244102912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 87140244102912 in words is "eighty-seven trillion, one hundred forty billion, two hundred forty-four million, one hundred two thousand, nine hundred twelve".