2553502358800 has 60 divisors (see below), whose sum is σ = 6136562230416. Its totient is φ = 1021105782400.

The previous prime is 2553502358789. The next prime is 2553502358807. The reversal of 2553502358800 is 88532053552.

It is not an unprimeable number, because it can be changed into a prime (2553502358807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466155 + ... + 2307445.

Almost surely, 2^{2553502358800} is an apocalyptic number.

2553502358800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553502358800 is an abundant number, since it is smaller than the sum of its proper divisors (3583059871616).

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

2553502358800 is a wasteful number, since it uses less digits than its factorization.

2553502358800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844776 (or 1844765 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 46.

The spelling of 2553502358800 in words is "two trillion, five hundred fifty-three billion, five hundred two million, three hundred fifty-eight thousand, eight hundred".