87544960000 has 220 divisors, whose sum is σ = 224656702468. Its totient is φ = 34062336000.

The previous prime is 87544959973. The next prime is 87544960049. The reversal of 87544960000 is 6944578.

It can be written as a sum of positive squares in 10 ways, for example, as 68283961344 + 19260998656 = 261312^2 + 138784^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23678152 + ... + 23681848.

Almost surely, 2^87544960000 is an apocalyptic number.

87544960000 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 87544960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112328351234).

87544960000 is an abundant number, since it is smaller than the sum of its proper divisors (137111742468).

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

87544960000 is an equidigital number, since it uses as much as digits as its factorization.

87544960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 87544960000 in words is "eighty-seven billion, five hundred forty-four million, nine hundred sixty thousand".