57128482897920 has 1296 divisors, whose sum is σ = 238943642294448. Its totient is φ = 13056155320320.

The previous prime is 57128482897867. The next prime is 57128482897931. The reversal of 57128482897920 is 2979828482175.

57128482897920 is a `hidden beast` number, since 5 + 71 + 2 + 8 + 482 + 8 + 9 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×57128482897920² (a number of 28 digits) contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7803367860 + ... + 7803375180.

It is an arithmetic number, because the mean of its divisors is an integer number (184370094363).

Almost surely, 2^{57128482897920} 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 57128482897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119471821147224).

57128482897920 is an abundant number, since it is smaller than the sum of its proper divisors (181815159396528).

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

57128482897920 is an frugal number, since it uses more digits than its factorization.

57128482897920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7389 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 57128482897920 in words is "fifty-seven trillion, one hundred twenty-eight billion, four hundred eighty-two million, eight hundred ninety-seven thousand, nine hundred twenty".