57354780672 has 560 divisors, whose sum is σ = 200634943755. Its totient is φ = 16387080192.

The previous prime is 57354780641. The next prime is 57354780677. The reversal of 57354780672 is 27608745375.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

57354780672 is a `hidden beast` number, since 573 + 5 + 4 + 7 + 8 + 0 + 67 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28677390336 + 28677390336 = 169344^2 + 169344^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=169344.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (57354780677) by changing a digit.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 8193540093 + ... + 8193540099.

Almost surely, 2^57354780672 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 57354780672

57354780672 is an abundant number, since it is smaller than the sum of its proper divisors (143280163083).

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

57354780672 is an frugal number, since it uses more digits than its factorization.

57354780672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 57354780672 in words is "fifty-seven billion, three hundred fifty-four million, seven hundred eighty thousand, six hundred seventy-two".