87365856000 has 864 divisors, whose sum is σ = 319517033472. Its totient is φ = 21140275200.

The previous prime is 87365855977. The next prime is 87365856007. The reversal of 87365856000 is 65856378.

It is a super-2 number, since 2×87365856000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87365856007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1303967967 + ... + 1303968033.

Almost surely, 2^87365856000 is an apocalyptic number.

87365856000 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 87365856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159758516736).

87365856000 is an abundant number, since it is smaller than the sum of its proper divisors (232151177472).

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

87365856000 is a wasteful number, since it uses less digits than its factorization.

87365856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 87365856000 in words is "eighty-seven billion, three hundred sixty-five million, eight hundred fifty-six thousand".