57264100245 has 96 divisors (see below), whose sum is σ = 117749998080. Its totient is φ = 25424824320.

The previous prime is 57264100241. The next prime is 57264100301. The reversal of 57264100245 is 54200146275.

It is a happy number.

57264100245 is a `hidden beast` number, since 5 + 7 + 2 + 641 + 0 + 0 + 2 + 4 + 5 = 666.

It is not a de Polignac number, because 57264100245 - 2² = 57264100241 is a prime.

It is a super-3 number, since 3×57264100245³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57264100241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219396 + ... + 403314.

It is an arithmetic number, because the mean of its divisors is an integer number (1226562480).

Almost surely, 2^57264100245 is an apocalyptic number.

57264100245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57264100245 is an abundant number, since it is smaller than the sum of its proper divisors (60485897835).

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

57264100245 is a wasteful number, since it uses less digits than its factorization.

57264100245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183995 (or 183992 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 57264100245 in words is "fifty-seven billion, two hundred sixty-four million, one hundred thousand, two hundred forty-five".