87675532800 has 240 divisors, whose sum is σ = 290056738752. Its totient is φ = 23345766400.

The previous prime is 87675532771. The next prime is 87675532807. The reversal of 87675532800 is 823557678.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87675532807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36363595 + ... + 36366005.

Almost surely, 2^87675532800 is an apocalyptic number.

87675532800 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 87675532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145028369376).

87675532800 is an abundant number, since it is smaller than the sum of its proper divisors (202381205952).

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

87675532800 is a wasteful number, since it uses less digits than its factorization.

87675532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 87675532800 in words is "eighty-seven billion, six hundred seventy-five million, five hundred thirty-two thousand, eight hundred".