87501051968 has 112 divisors (see below), whose sum is σ = 200906262144. Its totient is φ = 37369405440.

The previous prime is 87501051941. The next prime is 87501052003. The reversal of 87501051968 is 86915010578.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7330421 + ... + 7342347.

It is an arithmetic number, because the mean of its divisors is an integer number (1793805912).

Almost surely, 2^87501051968 is an apocalyptic number.

87501051968 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 87501051968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100453131072).

87501051968 is an abundant number, since it is smaller than the sum of its proper divisors (113405210176).

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

87501051968 is a wasteful number, since it uses less digits than its factorization.

87501051968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12580 (or 12570 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 50.

The spelling of 87501051968 in words is "eighty-seven billion, five hundred one million, fifty-one thousand, nine hundred sixty-eight".