5751216898560 has 2400 divisors, whose sum is σ = 26064065364480. Its totient is φ = 1205202862080.

The previous prime is 5751216898549. The next prime is 5751216898561. The reversal of 5751216898560 is 658986121575.

5751216898560 is a `hidden beast` number, since 5 + 7 + 5 + 1 + 2 + 1 + 68 + 9 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5751216898561) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 185523125745 + ... + 185523125775.

Almost surely, 2^{5751216898560} 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 5751216898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13032032682240).

5751216898560 is an abundant number, since it is smaller than the sum of its proper divisors (20312848465920).

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

5751216898560 is an frugal number, since it uses more digits than its factorization.

5751216898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 63.

The spelling of 5751216898560 in words is "five trillion, seven hundred fifty-one billion, two hundred sixteen million, eight hundred ninety-eight thousand, five hundred sixty".