57447794460096 has 168 divisors, whose sum is σ = 166215607908480. Its totient is φ = 18968820036096.

The previous prime is 57447794460079. The next prime is 57447794460103. The reversal of 57447794460096 is 69006449774475.

57447794460096 is a `hidden beast` number, since 5 + 7 + 4 + 4 + 7 + 7 + 9 + 4 + 4 + 600 + 9 + 6 = 666.

57447794460096 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 (72).

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 23 ways as a sum of consecutive naturals, for example, 1024234165 + ... + 1024290251.

Almost surely, 2^{57447794460096} 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 57447794460096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83107803954240).

57447794460096 is an abundant number, since it is smaller than the sum of its proper divisors (108767813448384).

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

57447794460096 is a wasteful number, since it uses less digits than its factorization.

57447794460096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72831 (or 72818 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 72.

The spelling of 57447794460096 in words is "fifty-seven trillion, four hundred forty-seven billion, seven hundred ninety-four million, four hundred sixty thousand, ninety-six".