5170561344000 has 1280 divisors, whose sum is σ = 20661462581760. Its totient is φ = 1267118899200.

The previous prime is 5170561343977. The next prime is 5170561344031. The reversal of 5170561344000 is 4431650715.

5170561344000 is a `hidden beast` number, since 5 + 1 + 70 + 56 + 134 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×5170561344000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7570367659 + ... + 7570368341.

It is an arithmetic number, because the mean of its divisors is an integer number (16141767642).

Almost surely, 2^{5170561344000} is an apocalyptic number.

5170561344000 is a gapful number since it is divisible by the number (50) 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 5170561344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10330731290880).

5170561344000 is an abundant number, since it is smaller than the sum of its proper divisors (15490901237760).

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

5170561344000 is a wasteful number, since it uses less digits than its factorization.

5170561344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 5170561344000 its reverse (4431650715), we get a palindrome (5174992994715).

The spelling of 5170561344000 in words is "five trillion, one hundred seventy billion, five hundred sixty-one million, three hundred forty-four thousand".