61057175116080 has 640 divisors, whose sum is σ = 235494263402496. Its totient is φ = 12856909824000.

The previous prime is 61057175116051. The next prime is 61057175116129. The reversal of 61057175116080 is 8061157175016.

It is a super-2 number, since 2×61057175116080² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5572429962 + ... + 5572440918.

Almost surely, 2^{61057175116080} is an apocalyptic number.

61057175116080 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 61057175116080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117747131701248).

61057175116080 is an abundant number, since it is smaller than the sum of its proper divisors (174437088286416).

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

61057175116080 is a wasteful number, since it uses less digits than its factorization.

61057175116080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20565 (or 20559 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 48.

The spelling of 61057175116080 in words is "sixty-one trillion, fifty-seven billion, one hundred seventy-five million, one hundred sixteen thousand, eighty".