87923097600 has 528 divisors, whose sum is σ = 320377640352. Its totient is φ = 21139292160.

The previous prime is 87923097599. The next prime is 87923097617. The reversal of 87923097600 is 679032978.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2044723179 + ... + 2044723221.

It is an arithmetic number, because the mean of its divisors is an integer number (606775834).

Almost surely, 2^87923097600 is an apocalyptic number.

87923097600 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 87923097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160188820176).

87923097600 is an abundant number, since it is smaller than the sum of its proper divisors (232454542752).

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

87923097600 is an frugal number, since it uses more digits than its factorization.

87923097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 87923097600 in words is "eighty-seven billion, nine hundred twenty-three million, ninety-seven thousand, six hundred".