87942542688 has 1152 divisors, whose sum is σ = 354789227520. Its totient is φ = 19926466560.

The previous prime is 87942542641. The next prime is 87942542693. The reversal of 87942542688 is 88624524978.

87942542688 is a `hidden beast` number, since 8 + 7 + 9 + 4 + 2 + 542 + 6 + 88 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 560143506 + ... + 560143662.

It is an arithmetic number, because the mean of its divisors is an integer number (307976760).

Almost surely, 2^87942542688 is an apocalyptic number.

87942542688 is a gapful number since it is divisible by the number (88) 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 87942542688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177394613760).

87942542688 is an abundant number, since it is smaller than the sum of its proper divisors (266846684832).

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

87942542688 is a wasteful number, since it uses less digits than its factorization.

87942542688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 289 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 87942542688 in words is "eighty-seven billion, nine hundred forty-two million, five hundred forty-two thousand, six hundred eighty-eight".