4257953895600 has 360 divisors, whose sum is σ = 15296199328800. Its totient is φ = 1095555686400.

The previous prime is 4257953895581. The next prime is 4257953895631. The reversal of 4257953895600 is 65983597524.

4257953895600 is a `hidden beast` number, since 4 + 2 + 5 + 7 + 9 + 538 + 95 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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, 162746520 + ... + 162772680.

It is an arithmetic number, because the mean of its divisors is an integer number (42489442580).

Almost surely, 2^{4257953895600} is an apocalyptic number.

4257953895600 is a gapful number since it is divisible by the number (40) 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 4257953895600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7648099664400).

4257953895600 is an abundant number, since it is smaller than the sum of its proper divisors (11038245433200).

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

4257953895600 is a wasteful number, since it uses less digits than its factorization.

4257953895600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27773 (or 27759 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 4257953895600 in words is "four trillion, two hundred fifty-seven billion, nine hundred fifty-three million, eight hundred ninety-five thousand, six hundred".