2553923610000 has 675 divisors, whose sum is σ = 10403304558933. Its totient is φ = 582986880000.

The previous prime is 2553923609987. The next prime is 2553923610019. The reversal of 2553923610000 is 163293552.

The square root of 2553923610000 is 1598100.

It is a perfect power (a square), and thus also a powerful number.

2553923610000 is a `hidden beast` number, since 2 + 5 + 5 + 39 + 2 + 3 + 610 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2418311128464 + 135612481536 = 1555092^2 + 368256^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3356009620 + ... + 3356010380.

Almost surely, 2^{2553923610000} is an apocalyptic number.

2553923610000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2553923610000 is the 1598100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553923610000

2553923610000 is an abundant number, since it is smaller than the sum of its proper divisors (7849380948933).

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

2553923610000 is an frugal number, since it uses more digits than its factorization.

2553923610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Multiplying 2553923610000 by its sum of digits (36), we get a square (91941249960000 = 9588600²).

2553923610000 divided by its sum of digits (36) gives a square (70942322500 = 266350²).

The spelling of 2553923610000 in words is "two trillion, five hundred fifty-three billion, nine hundred twenty-three million, six hundred ten thousand".