87373209600 has 840 divisors, whose sum is σ = 339218534160. Its totient is φ = 22189178880.

The previous prime is 87373209559. The next prime is 87373209631. The reversal of 87373209600 is 690237378.

It is a happy number.

87373209600 is a `hidden beast` number, since 8 + 7 + 3 + 7 + 32 + 0 + 9 + 600 = 666.

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 59 ways as a sum of consecutive naturals, for example, 381542286 + ... + 381542514.

Almost surely, 2^87373209600 is an apocalyptic number.

87373209600 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 87373209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169609267080).

87373209600 is an abundant number, since it is smaller than the sum of its proper divisors (251845324560).

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

87373209600 is a wasteful number, since it uses less digits than its factorization.

87373209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 87373209600 in words is "eighty-seven billion, three hundred seventy-three million, two hundred nine thousand, six hundred".