995083407360 has 936 divisors, whose sum is σ = 4249011593736. Its totient is φ = 214035333120.

The previous prime is 995083407349. The next prime is 995083407371. The reversal of 995083407360 is 63704380599.

995083407360 is a `hidden beast` number, since 9 + 9 + 508 + 3 + 4 + 0 + 73 + 60 = 666.

995083407360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (995083407349) and next prime (995083407371).

It can be written as a sum of positive squares in 4 ways, for example, as 462487044096 + 532596363264 = 680064^2 + 729792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 995083407297 and 995083407306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153535320 + ... + 153541800.

It is an arithmetic number, because the mean of its divisors is an integer number (4539542301).

Almost surely, 2^995083407360 is an apocalyptic number.

995083407360 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 995083407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124505796868).

995083407360 is an abundant number, since it is smaller than the sum of its proper divisors (3253928186376).

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

995083407360 is a wasteful number, since it uses less digits than its factorization.

995083407360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6547 (or 6515 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 995083407360 in words is "nine hundred ninety-five billion, eighty-three million, four hundred seven thousand, three hundred sixty".