87973089600 has 672 divisors, whose sum is σ = 330033733632. Its totient is φ = 20321280000.

The previous prime is 87973089587. The next prime is 87973089601. The reversal of 87973089600 is 698037978.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87973089601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116212422 + ... + 116213178.

Almost surely, 2^87973089600 is an apocalyptic number.

87973089600 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 87973089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165016866816).

87973089600 is an abundant number, since it is smaller than the sum of its proper divisors (242060644032).

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

87973089600 is a wasteful number, since it uses less digits than its factorization.

87973089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 87973089600 in words is "eighty-seven billion, nine hundred seventy-three million, eighty-nine thousand, six hundred".