57726249945696 has 240 divisors, whose sum is σ = 170236667684160. Its totient is φ = 19189370914560.

The previous prime is 57726249945641. The next prime is 57726249945733. The reversal of 57726249945696 is 69654994262775.

57726249945696 is a `hidden beast` number, since 5 + 7 + 7 + 2 + 6 + 2 + 49 + 9 + 4 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3765320751 + ... + 3765336081.

It is an arithmetic number, because the mean of its divisors is an integer number (709319448684).

Almost surely, 2^{57726249945696} 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 57726249945696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85118333842080).

57726249945696 is an abundant number, since it is smaller than the sum of its proper divisors (112510417738464).

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

57726249945696 is a wasteful number, since it uses less digits than its factorization.

57726249945696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19239 (or 19222 counting only the distinct ones).

The product of its digits is 12345177600, while the sum is 81.

The spelling of 57726249945696 in words is "fifty-seven trillion, seven hundred twenty-six billion, two hundred forty-nine million, nine hundred forty-five thousand, six hundred ninety-six".