87497188800 has 1344 divisors, whose sum is σ = 370090598400. Its totient is φ = 17639424000.

The previous prime is 87497188763. The next prime is 87497188811. The reversal of 87497188800 is 888179478.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 866308750 + ... + 866308850.

Almost surely, 2^87497188800 is an apocalyptic number.

87497188800 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 87497188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185045299200).

87497188800 is an abundant number, since it is smaller than the sum of its proper divisors (282593409600).

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

87497188800 is a wasteful number, since it uses less digits than its factorization.

87497188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 60.

The spelling of 87497188800 in words is "eighty-seven billion, four hundred ninety-seven million, one hundred eighty-eight thousand, eight hundred".