57219813504 has 192 divisors, whose sum is σ = 196450408800. Its totient is φ = 16348469760.

The previous prime is 57219813467. The next prime is 57219813509. The reversal of 57219813504 is 40531891275.

57219813504 is a `hidden beast` number, since 5 + 7 + 219 + 81 + 350 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 57219813504.

It is not an unprimeable number, because it can be changed into a prime (57219813509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399 + ... + 338289.

Almost surely, 2^57219813504 is an apocalyptic number.

57219813504 is a gapful number since it is divisible by the number (54) 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 57219813504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98225204400).

57219813504 is an abundant number, since it is smaller than the sum of its proper divisors (139230595296).

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

57219813504 is a wasteful number, since it uses less digits than its factorization.

57219813504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337928 (or 337903 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 57219813504 in words is "fifty-seven billion, two hundred nineteen million, eight hundred thirteen thousand, five hundred four".