57416663424 has 128 divisors (see below), whose sum is σ = 154713600000. Its totient is φ = 18864728064.

The previous prime is 57416663411. The next prime is 57416663441. The reversal of 57416663424 is 42436661475.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×57416663424³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7652827 + ... + 7660325.

It is an arithmetic number, because the mean of its divisors is an integer number (1208700000).

Almost surely, 2^57416663424 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 57416663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77356800000).

57416663424 is an abundant number, since it is smaller than the sum of its proper divisors (97296936576).

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

57416663424 is a wasteful number, since it uses less digits than its factorization.

57416663424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800 (or 7788 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 48.

The spelling of 57416663424 in words is "fifty-seven billion, four hundred sixteen million, six hundred sixty-three thousand, four hundred twenty-four".