5750614172160 has 1920 divisors, whose sum is σ = 24390306420480. Its totient is φ = 1275683143680.

The previous prime is 5750614172153. The next prime is 5750614172183. The reversal of 5750614172160 is 612714160575.

5750614172160 is a `hidden beast` number, since 5 + 7 + 5 + 0 + 614 + 1 + 7 + 21 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24680747404 + ... + 24680747636.

It is an arithmetic number, because the mean of its divisors is an integer number (12703284594).

Almost surely, 2^{5750614172160} 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 5750614172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12195153210240).

5750614172160 is an abundant number, since it is smaller than the sum of its proper divisors (18639692248320).

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

5750614172160 is a wasteful number, since it uses less digits than its factorization.

5750614172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 5750614172160 in words is "five trillion, seven hundred fifty billion, six hundred fourteen million, one hundred seventy-two thousand, one hundred sixty".