5952574004160 has 448 divisors, whose sum is σ = 22808939904000. Its totient is φ = 1284851662848.

The previous prime is 5952574004159. The next prime is 5952574004189. The reversal of 5952574004160 is 614004752595.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 39889366 + ... + 40038314.

Almost surely, 2^{5952574004160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5952574004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404469952000).

5952574004160 is an abundant number, since it is smaller than the sum of its proper divisors (16856365899840).

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

5952574004160 is a wasteful number, since it uses less digits than its factorization.

5952574004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149308 (or 149298 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 5952574004160 in words is "five trillion, nine hundred fifty-two billion, five hundred seventy-four million, four thousand, one hundred sixty".