87213786400 has 144 divisors (see below), whose sum is σ = 231654876264. Its totient is φ = 31869665280.

The previous prime is 87213786391. The next prime is 87213786487. The reversal of 87213786400 is 468731278.

It can be written as a sum of positive squares in 12 ways, for example, as 2837479824 + 84376306576 = 53268^2 + 290476^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 965574 + ... + 1052026.

Almost surely, 2^87213786400 is an apocalyptic number.

87213786400 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 87213786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115827438132).

87213786400 is an abundant number, since it is smaller than the sum of its proper divisors (144441089864).

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

87213786400 is a wasteful number, since it uses less digits than its factorization.

87213786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86583 (or 86570 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 87213786400 in words is "eighty-seven billion, two hundred thirteen million, seven hundred eighty-six thousand, four hundred".