995865948000 has 1536 divisors, whose sum is σ = 4666416168960. Its totient is φ = 200206080000.

The previous prime is 995865947981. The next prime is 995865948023. The reversal of 995865948000 is 849568599.

995865948000 is a `hidden beast` number, since 9 + 9 + 586 + 5 + 9 + 48 + 0 + 0 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 257794069 + ... + 257797931.

It is an arithmetic number, because the mean of its divisors is an integer number (3038031360).

Almost surely, 2^995865948000 is an apocalyptic number.

995865948000 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 995865948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333208084480).

995865948000 is an abundant number, since it is smaller than the sum of its proper divisors (3670550220960).

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

995865948000 is a wasteful number, since it uses less digits than its factorization.

995865948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 995865948000 in words is "nine hundred ninety-five billion, eight hundred sixty-five million, nine hundred forty-eight thousand".