57723486029136 has 320 divisors, whose sum is σ = 168360221399040. Its totient is φ = 18933660979200.

The previous prime is 57723486029119. The next prime is 57723486029141. The reversal of 57723486029136 is 63192068432775.

It is a happy number.

57723486029136 is a `hidden beast` number, since 5 + 7 + 7 + 2 + 3 + 4 + 8 + 602 + 9 + 13 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4291383211 + ... + 4291396661.

It is an arithmetic number, because the mean of its divisors is an integer number (526125691872).

It is a 1-persistent number, because it is pandigital, but 2⋅57723486029136 = 115446972058272 is not.

Almost surely, 2^{57723486029136} 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 57723486029136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84180110699520).

57723486029136 is an abundant number, since it is smaller than the sum of its proper divisors (110636735369904).

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

57723486029136 is a wasteful number, since it uses less digits than its factorization.

57723486029136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14191 (or 14179 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 57723486029136 in words is "fifty-seven trillion, seven hundred twenty-three billion, four hundred eighty-six million, twenty-nine thousand, one hundred thirty-six".