87561604000 has 144 divisors (see below), whose sum is σ = 232962813720. Its totient is φ = 32330188800.

The previous prime is 87561603973. The next prime is 87561604019. The reversal of 87561604000 is 40616578.

It can be written as a sum of positive squares in 12 ways, for example, as 14603272336 + 72958331664 = 120844^2 + 270108^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611236 + ... + 740764.

Almost surely, 2^87561604000 is an apocalyptic number.

87561604000 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 87561604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116481406860).

87561604000 is an abundant number, since it is smaller than the sum of its proper divisors (145401209720).

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

87561604000 is a wasteful number, since it uses less digits than its factorization.

87561604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129580 (or 129549 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 87561604000 in words is "eighty-seven billion, five hundred sixty-one million, six hundred four thousand".