2553962852100 has 144 divisors (see below), whose sum is σ = 8061961501440. Its totient is φ = 619086748800.

The previous prime is 2553962852081. The next prime is 2553962852107. The reversal of 2553962852100 is 12582693552.

It is a self number, because there is not a number n which added to its sum of digits gives 2553962852100.

It is not an unprimeable number, because it can be changed into a prime (2553962852107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45706779 + ... + 45762621.

It is an arithmetic number, because the mean of its divisors is an integer number (55985843760).

Almost surely, 2^{2553962852100} is an apocalyptic number.

2553962852100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553962852100 is an abundant number, since it is smaller than the sum of its proper divisors (5507998649340).

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

2553962852100 is a wasteful number, since it uses less digits than its factorization.

2553962852100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69730 (or 69723 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 2553962852100 in words is "two trillion, five hundred fifty-three billion, nine hundred sixty-two million, eight hundred fifty-two thousand, one hundred".