57486927456 has 216 divisors, whose sum is σ = 198471152880. Its totient is φ = 15458512896.

The previous prime is 57486927409. The next prime is 57486927457. The reversal of 57486927456 is 65472968475.

57486927456 is a `hidden beast` number, since 57 + 48 + 6 + 92 + 7 + 456 = 666.

57486927456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 57486927393 and 57486927402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57486927457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 533290 + ... + 631958.

It is an arithmetic number, because the mean of its divisors is an integer number (918847930).

Almost surely, 2^57486927456 is an apocalyptic number.

57486927456 is a gapful number since it is divisible by the number (56) 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 57486927456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99235576440).

57486927456 is an abundant number, since it is smaller than the sum of its proper divisors (140984225424).

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

57486927456 is a wasteful number, since it uses less digits than its factorization.

57486927456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98726 (or 98698 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 57486927456 in words is "fifty-seven billion, four hundred eighty-six million, nine hundred twenty-seven thousand, four hundred fifty-six".