57525963264000 has 4992 divisors, whose sum is σ = 283879248307200. Its totient is φ = 11250302976000.

The previous prime is 57525963263959. The next prime is 57525963264019. The reversal of 57525963264000 is 46236952575.

It is a happy number.

57525963264000 is a `hidden beast` number, since 5 + 7 + 5 + 2 + 596 + 3 + 2 + 6 + 40 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3383880191992 + ... + 3383880192008.

It is an arithmetic number, because the mean of its divisors is an integer number (56866836600).

Almost surely, 2^{57525963264000} is an apocalyptic number.

57525963264000 is a gapful number since it is divisible by the number (50) 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 57525963264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141939624153600).

57525963264000 is an abundant number, since it is smaller than the sum of its proper divisors (226353285043200).

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

57525963264000 is an equidigital number, since it uses as much as digits as its factorization.

57525963264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 57525963264000 in words is "fifty-seven trillion, five hundred twenty-five billion, nine hundred sixty-three million, two hundred sixty-four thousand".