2557552977800 has 36 divisors (see below), whose sum is σ = 5946363257445. Its totient is φ = 1023012144480.

The previous prime is 2557552977781. The next prime is 2557552977841. The reversal of 2557552977800 is 87792557552.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2506401918244 + 51151059556 = 1583162^2 + 226166^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1130830.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 22560059 + ... + 22673141.

Almost surely, 2^{2557552977800} is an apocalyptic number.

2557552977800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2557552977800 is an abundant number, since it is smaller than the sum of its proper divisors (3388810279645).

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

2557552977800 is an frugal number, since it uses more digits than its factorization.

2557552977800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226182 (or 113090 counting only the distinct ones).

The product of its (nonzero) digits is 61740000, while the sum is 62.

The spelling of 2557552977800 in words is "two trillion, five hundred fifty-seven billion, five hundred fifty-two million, nine hundred seventy-seven thousand, eight hundred".