6158890766160 has 480 divisors, whose sum is σ = 22705688992896. Its totient is φ = 1483702272000.

The previous prime is 6158890766081. The next prime is 6158890766201. The reversal of 6158890766160 is 616670988516.

6158890766160 is a `hidden beast` number, since 6 + 1 + 5 + 8 + 8 + 9 + 0 + 7 + 6 + 616 + 0 = 666.

It is a super-2 number, since 2×6158890766160² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1973369400 + ... + 1973372520.

Almost surely, 2^{6158890766160} is an apocalyptic number.

6158890766160 is a gapful number since it is divisible by the number (60) 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 6158890766160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11352844496448).

6158890766160 is an abundant number, since it is smaller than the sum of its proper divisors (16546798226736).

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

6158890766160 is a wasteful number, since it uses less digits than its factorization.

6158890766160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 6158890766160 in words is "six trillion, one hundred fifty-eight billion, eight hundred ninety million, seven hundred sixty-six thousand, one hundred sixty".