87576988800 has 768 divisors, whose sum is σ = 350663270400. Its totient is φ = 18765250560.

The previous prime is 87576988787. The next prime is 87576988831. The reversal of 87576988800 is 888967578.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144278097 + ... + 144278703.

It is an arithmetic number, because the mean of its divisors is an integer number (456592800).

Almost surely, 2^87576988800 is an apocalyptic number.

87576988800 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 87576988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175331635200).

87576988800 is an abundant number, since it is smaller than the sum of its proper divisors (263086281600).

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

87576988800 is a wasteful number, since it uses less digits than its factorization.

87576988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 66.

The spelling of 87576988800 in words is "eighty-seven billion, five hundred seventy-six million, nine hundred eighty-eight thousand, eight hundred".