57293729805760 has 224 divisors, whose sum is σ = 158952182699520. Its totient is φ = 19262074810368.

The previous prime is 57293729805673. The next prime is 57293729805787. The reversal of 57293729805760 is 6750892739275.

57293729805760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 57293729805760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212017611 + ... + 212287669.

It is an arithmetic number, because the mean of its divisors is an integer number (709607958480).

Almost surely, 2^{57293729805760} 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 57293729805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79476091349760).

57293729805760 is an abundant number, since it is smaller than the sum of its proper divisors (101658452893760).

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

57293729805760 is a wasteful number, since it uses less digits than its factorization.

57293729805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271923 (or 271913 counting only the distinct ones).

The product of its (nonzero) digits is 400075200, while the sum is 70.

The spelling of 57293729805760 in words is "fifty-seven trillion, two hundred ninety-three billion, seven hundred twenty-nine million, eight hundred five thousand, seven hundred sixty".