995258880 has 960 divisors, whose sum is σ = 4702199040. Its totient is φ = 194641920.

The previous prime is 995258861. The next prime is 995258881. The reversal of 995258880 is 88852599.

995258880 is a `hidden beast` number, since 9 + 9 + 52 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (995258881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58544632 + ... + 58544648.

It is an arithmetic number, because the mean of its divisors is an integer number (4898124).

Almost surely, 2^995258880 is an apocalyptic number.

995258880 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 995258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351099520).

995258880 is an abundant number, since it is smaller than the sum of its proper divisors (3706940160).

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

995258880 is a wasteful number, since it uses less digits than its factorization.

995258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The square root of 995258880 is about 31547.7238481638. The cubic root of 995258880 is about 998.4171224874.

The spelling of 995258880 in words is "nine hundred ninety-five million, two hundred fifty-eight thousand, eight hundred eighty".