57436226170752 has 1024 divisors, whose sum is σ = 192092531097600. Its totient is φ = 14937882624000.

The previous prime is 57436226170733. The next prime is 57436226170801. The reversal of 57436226170752 is 25707162263475.

It is a junction number, because it is equal to n+sod(n) for n = 57436226170692 and 57436226170701.

It is a congruent number.

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, 31891296252 + ... + 31891298052.

It is an arithmetic number, because the mean of its divisors is an integer number (187590362400).

Almost surely, 2^{57436226170752} is an apocalyptic number.

57436226170752 is a gapful number since it is divisible by the number (52) 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 57436226170752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96046265548800).

57436226170752 is an abundant number, since it is smaller than the sum of its proper divisors (134656304926848).

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

57436226170752 is a wasteful number, since it uses less digits than its factorization.

57436226170752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 57.

The spelling of 57436226170752 in words is "fifty-seven trillion, four hundred thirty-six billion, two hundred twenty-six million, one hundred seventy thousand, seven hundred fifty-two".