86995406400 has 1344 divisors, whose sum is σ = 367671705600. Its totient is φ = 17557585920.

The previous prime is 86995406347. The next prime is 86995406447. The reversal of 86995406400 is 460459968.

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

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, 685003137 + ... + 685003263.

Almost surely, 2^86995406400 is an apocalyptic number.

86995406400 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 86995406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183835852800).

86995406400 is an abundant number, since it is smaller than the sum of its proper divisors (280676299200).

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

86995406400 is a wasteful number, since it uses less digits than its factorization.

86995406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 86995406400 in words is "eighty-six billion, nine hundred ninety-five million, four hundred six thousand, four hundred".