8315202994560 has 1024 divisors, whose sum is σ = 36801970790400. Its totient is φ = 1723811880960.

The previous prime is 8315202994537. The next prime is 8315202994619. The reversal of 8315202994560 is 654992025138.

8315202994560 is a `hidden beast` number, since 8 + 3 + 1 + 52 + 0 + 29 + 9 + 4 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8315202994497 and 8315202994506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 589431027 + ... + 589445133.

It is an arithmetic number, because the mean of its divisors is an integer number (35939424600).

Almost surely, 2^{8315202994560} is an apocalyptic number.

8315202994560 is a gapful number since it is divisible by the number (80) 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 8315202994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400985395200).

8315202994560 is an abundant number, since it is smaller than the sum of its proper divisors (28486767795840).

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

8315202994560 is a wasteful number, since it uses less digits than its factorization.

8315202994560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14596 (or 14578 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 8315202994560 in words is "eight trillion, three hundred fifteen billion, two hundred two million, nine hundred ninety-four thousand, five hundred sixty".