87973526400 has 384 divisors, whose sum is σ = 309238540800. Its totient is φ = 21917122560.

The previous prime is 87973526371. The next prime is 87973526401. The reversal of 87973526400 is 462537978.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87973526401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13311897 + ... + 13318503.

It is an arithmetic number, because the mean of its divisors is an integer number (805308700).

Almost surely, 2^87973526400 is an apocalyptic number.

87973526400 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 87973526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154619270400).

87973526400 is an abundant number, since it is smaller than the sum of its proper divisors (221265014400).

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

87973526400 is a wasteful number, since it uses less digits than its factorization.

87973526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6726 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 87973526400 in words is "eighty-seven billion, nine hundred seventy-three million, five hundred twenty-six thousand, four hundred".