995773132800 has 1248 divisors, whose sum is σ = 3822222028800. Its totient is φ = 253954621440.

The previous prime is 995773132789. The next prime is 995773132811. The reversal of 995773132800 is 8231377599.

995773132800 is a `hidden beast` number, since 9 + 9 + 577 + 31 + 32 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (995773132789) and next prime (995773132811).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10265702352 + ... + 10265702448.

Almost surely, 2^995773132800 is an apocalyptic number.

995773132800 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 995773132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911111014400).

995773132800 is an abundant number, since it is smaller than the sum of its proper divisors (2826448896000).

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

995773132800 is a wasteful number, since it uses less digits than its factorization.

995773132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 995773132800 in words is "nine hundred ninety-five billion, seven hundred seventy-three million, one hundred thirty-two thousand, eight hundred".