2557121416200 has 288 divisors, whose sum is σ = 9590786150400. Its totient is φ = 629445116160.

The previous prime is 2557121416183. The next prime is 2557121416217. The reversal of 2557121416200 is 26141217552.

2557121416200 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 1 + 21 + 4 + 1 + 620 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2557121416183) and next prime (2557121416217).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1391880 + ... + 2655479.

It is an arithmetic number, because the mean of its divisors is an integer number (33301340800).

Almost surely, 2^{2557121416200} is an apocalyptic number.

2557121416200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2557121416200 is an abundant number, since it is smaller than the sum of its proper divisors (7033664734200).

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

2557121416200 is a wasteful number, since it uses less digits than its factorization.

2557121416200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047403 (or 4047382 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 2557121416200 in words is "two trillion, five hundred fifty-seven billion, one hundred twenty-one million, four hundred sixteen thousand, two hundred".