87607296000 has 1080 divisors, whose sum is σ = 371197944936. Its totient is φ = 19818086400.

The previous prime is 87607295983. The next prime is 87607296013. The reversal of 87607296000 is 69270678.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4884332544 + 82722963456 = 69888^2 + 287616^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 903167952 + ... + 903168048.

Almost surely, 2^87607296000 is an apocalyptic number.

87607296000 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 87607296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185598972468).

87607296000 is an abundant number, since it is smaller than the sum of its proper divisors (283590648936).

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

87607296000 is an equidigital number, since it uses as much as digits as its factorization.

87607296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 87607296000 in words is "eighty-seven billion, six hundred seven million, two hundred ninety-six thousand".