87727536000 has 1280 divisors, whose sum is σ = 362274232320. Its totient is φ = 20901888000.

The previous prime is 87727535969. The next prime is 87727536059. The reversal of 87727536000 is 63572778.

It is a super-2 number, since 2×87727536000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 690767937 + ... + 690768063.

It is an arithmetic number, because the mean of its divisors is an integer number (283026744).

Almost surely, 2^87727536000 is an apocalyptic number.

87727536000 is a gapful number since it is divisible by the number (80) 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 87727536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181137116160).

87727536000 is an abundant number, since it is smaller than the sum of its proper divisors (274546696320).

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

87727536000 is a wasteful number, since it uses less digits than its factorization.

87727536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 87727536000 in words is "eighty-seven billion, seven hundred twenty-seven million, five hundred thirty-six thousand".