2057385355200 has 1008 divisors, whose sum is σ = 8901255394304. Its totient is φ = 457527398400.

The previous prime is 2057385355199. The next prime is 2057385355211. The reversal of 2057385355200 is 25535837502.

It is a happy number.

2057385355200 is a `hidden beast` number, since 2 + 0 + 5 + 73 + 8 + 53 + 5 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 100688985 + ... + 100709415.

Almost surely, 2^{2057385355200} is an apocalyptic number.

2057385355200 is a gapful number since it is divisible by the number (20) 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 2057385355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4450627697152).

2057385355200 is an abundant number, since it is smaller than the sum of its proper divisors (6843870039104).

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

2057385355200 is a wasteful number, since it uses less digits than its factorization.

2057385355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20512 (or 20485 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 2057385355200 in words is "two trillion, fifty-seven billion, three hundred eighty-five million, three hundred fifty-five thousand, two hundred".