86981734400 has 624 divisors, whose sum is σ = 252734681088. Its totient is φ = 29392896000.

The previous prime is 86981734363. The next prime is 86981734487. The reversal of 86981734400 is 443718968.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1641164774 + ... + 1641164826.

Almost surely, 2^86981734400 is an apocalyptic number.

86981734400 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 86981734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126367340544).

86981734400 is an abundant number, since it is smaller than the sum of its proper divisors (165752946688).

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

86981734400 is a wasteful number, since it uses less digits than its factorization.

86981734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 86981734400 in words is "eighty-six billion, nine hundred eighty-one million, seven hundred thirty-four thousand, four hundred".