57728159927136 has 216 divisors, whose sum is σ = 177530051069280. Its totient is φ = 17771386203648.

The previous prime is 57728159927099. The next prime is 57728159927143. The reversal of 57728159927136 is 63172995182775.

It is a happy number.

57728159927136 is a `hidden beast` number, since 5 + 7 + 7 + 2 + 8 + 1 + 599 + 27 + 1 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2114776 + ... + 10951191.

It is an arithmetic number, because the mean of its divisors is an integer number (821898384580).

Almost surely, 2^{57728159927136} 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 57728159927136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88765025534640).

57728159927136 is an abundant number, since it is smaller than the sum of its proper divisors (119801891142144).

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

57728159927136 is a wasteful number, since it uses less digits than its factorization.

57728159927136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13066058 (or 13066024 counting only the distinct ones).

The product of its digits is 400075200, while the sum is 72.

The spelling of 57728159927136 in words is "fifty-seven trillion, seven hundred twenty-eight billion, one hundred fifty-nine million, nine hundred twenty-seven thousand, one hundred thirty-six".