87960576412900 has 243 divisors, whose sum is σ = 207749825192091. Its totient is φ = 32319253639680.

The previous prime is 87960576412897. The next prime is 87960576412909. The reversal of 87960576412900 is 921467506978.

The square root of 87960576412900 is 9378730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2057486147236 + 85903090265664 = 1434394^2 + 9268392^2 .

It is not an unprimeable number, because it can be changed into a prime (87960576412909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 68558515659 + ... + 68558516941.

Almost surely, 2^{87960576412900} is an apocalyptic number.

87960576412900 is the 9378730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87960576412900

87960576412900 is an abundant number, since it is smaller than the sum of its proper divisors (119789248779191).

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

87960576412900 is a wasteful number, since it uses less digits than its factorization.

87960576412900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 64.

The spelling of 87960576412900 in words is "eighty-seven trillion, nine hundred sixty billion, five hundred seventy-six million, four hundred twelve thousand, nine hundred".