87942142962432 has 720 divisors, whose sum is σ = 301257252172800. Its totient is φ = 25235257466880.

The previous prime is 87942142962397. The next prime is 87942142962461. The reversal of 87942142962432 is 23426924124978.

87942142962432 is a `hidden beast` number, since 8 + 7 + 94 + 2 + 14 + 296 + 243 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 87942142962432.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17287621393 + ... + 17287626479.

It is an arithmetic number, because the mean of its divisors is an integer number (418412850240).

Almost surely, 2^{87942142962432} 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 87942142962432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150628626086400).

87942142962432 is an abundant number, since it is smaller than the sum of its proper divisors (213315109210368).

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

87942142962432 is a wasteful number, since it uses less digits than its factorization.

87942142962432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9134 (or 9111 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 87942142962432 in words is "eighty-seven trillion, nine hundred forty-two billion, one hundred forty-two million, nine hundred sixty-two thousand, four hundred thirty-two".