2553056421300 has 864 divisors, whose sum is σ = 10692439640064. Its totient is φ = 493713792000.

The previous prime is 2553056421287. The next prime is 2553056421317. The reversal of 2553056421300 is 31246503552.

2553056421300 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 0 + 5 + 642 + 1 + 3 + 0 + 0 = 666.

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 58952655 + ... + 58995945.

Almost surely, 2^{2553056421300} is an apocalyptic number.

2553056421300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553056421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346219820032).

2553056421300 is an abundant number, since it is smaller than the sum of its proper divisors (8139383218764).

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

2553056421300 is a wasteful number, since it uses less digits than its factorization.

2553056421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43389 (or 43379 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 2553056421300 in words is "two trillion, five hundred fifty-three billion, fifty-six million, four hundred twenty-one thousand, three hundred".