995662886400 has 2400 divisors, whose sum is σ = 4636408125888. Its totient is φ = 205435699200.

The previous prime is 995662886347. The next prime is 995662886423. The reversal of 995662886400 is 4688266599.

995662886400 is a `hidden beast` number, since 9 + 9 + 566 + 2 + 8 + 8 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5755276714 + ... + 5755276886.

Almost surely, 2^995662886400 is an apocalyptic number.

995662886400 is a gapful number since it is divisible by the number (90) 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 995662886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318204062944).

995662886400 is an abundant number, since it is smaller than the sum of its proper divisors (3640745239488).

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

995662886400 is a wasteful number, since it uses less digits than its factorization.

995662886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 995662886400 in words is "nine hundred ninety-five billion, six hundred sixty-two million, eight hundred eighty-six thousand, four hundred".