87268076500 has 192 divisors, whose sum is σ = 211045056768. Its totient is φ = 31260672000.

The previous prime is 87268076479. The next prime is 87268076549. The reversal of 87268076500 is 567086278.

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 63 ways as a sum of consecutive naturals, for example, 151244212 + ... + 151244788.

It is an arithmetic number, because the mean of its divisors is an integer number (1099193004).

Almost surely, 2^87268076500 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 87268076500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105522528384).

87268076500 is an abundant number, since it is smaller than the sum of its proper divisors (123776980268).

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

87268076500 is a wasteful number, since it uses less digits than its factorization.

87268076500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The spelling of 87268076500 in words is "eighty-seven billion, two hundred sixty-eight million, seventy-six thousand, five hundred".