57320419550625 has 2025 divisors, whose sum is σ = 150943010582133. Its totient is φ = 21586506480000.

The previous prime is 57320419550623. The next prime is 57320419550699. The reversal of 57320419550625 is 52605591402375.

The square root of 57320419550625 is 7571025.

It is a perfect power (a square), and thus also a powerful number.

57320419550625 is a `hidden beast` number, since 5 + 7 + 3 + 2 + 0 + 4 + 1 + 9 + 5 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4493920892769 + 52826498657856 = 2119887^2 + 7268184^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

It is not a de Polignac number, because 57320419550625 - 2¹ = 57320419550623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57320419550623) by changing a digit.

It is a polite number, since it can be written in 2024 ways as a sum of consecutive naturals, for example, 2492192154364 + ... + 2492192154386.

Almost surely, 2^{57320419550625} is an apocalyptic number.

57320419550625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57320419550625 is the 7571025-th square number.

57320419550625 is the 3785513-rd centered octagonal number.

It is an amenable number.

57320419550625 is an abundant number, since it is smaller than the sum of its proper divisors (93622591031508).

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

57320419550625 is a wasteful number, since it uses less digits than its factorization.

57320419550625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 57320419550625 in words is "fifty-seven trillion, three hundred twenty billion, four hundred nineteen million, five hundred fifty thousand, six hundred twenty-five".