2975504847168 has 448 divisors, whose sum is σ = 9786684211200. Its totient is φ = 778601134080.

The previous prime is 2975504847157. The next prime is 2975504847173. The reversal of 2975504847168 is 8617484055792.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 2975504847099 and 2975504847108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1272125743 + ... + 1272128081.

Almost surely, 2^{2975504847168} is an apocalyptic number.

2975504847168 is a gapful number since it is divisible by the number (28) 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 2975504847168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893342105600).

2975504847168 is an abundant number, since it is smaller than the sum of its proper divisors (6811179364032).

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

2975504847168 is a wasteful number, since it uses less digits than its factorization.

2975504847168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 66.

The spelling of 2975504847168 in words is "two trillion, nine hundred seventy-five billion, five hundred four million, eight hundred forty-seven thousand, one hundred sixty-eight".