57416325120 has 1920 divisors, whose sum is σ = 273988915200. Its totient is φ = 11147673600.

The previous prime is 57416325107. The next prime is 57416325137. The reversal of 57416325120 is 2152361475.

57416325120 is a `hidden beast` number, since 5 + 7 + 4 + 1 + 632 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1852139505 + ... + 1852139535.

It is an arithmetic number, because the mean of its divisors is an integer number (142702560).

Almost surely, 2^57416325120 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 57416325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136994457600).

57416325120 is an abundant number, since it is smaller than the sum of its proper divisors (216572590080).

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

57416325120 is a wasteful number, since it uses less digits than its factorization.

57416325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 57416325120 its reverse (2152361475), we get a palindrome (59568686595).

The spelling of 57416325120 in words is "fifty-seven billion, four hundred sixteen million, three hundred twenty-five thousand, one hundred twenty".