2553414100000 has 72 divisors (see below), whose sum is σ = 6283390595076. Its totient is φ = 1021365600000.

The previous prime is 2553414099989. The next prime is 2553414100031. The reversal of 2553414100000 is 14143552.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 71667573264 + 2481746526736 = 267708^2 + 1575356^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12667071 + ... + 12867070.

Almost surely, 2^{2553414100000} is an apocalyptic number.

2553414100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553414100000 is an abundant number, since it is smaller than the sum of its proper divisors (3729976495076).

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

2553414100000 is an frugal number, since it uses more digits than its factorization.

2553414100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25534176 (or 25534148 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 2553414100000 its reverse (14143552), we get a palindrome (2553428243552).

The spelling of 2553414100000 in words is "two trillion, five hundred fifty-three billion, four hundred fourteen million, one hundred thousand".