2553306624000 has 2080 divisors, whose sum is σ = 10798193989440. Its totient is φ = 594542592000.

The previous prime is 2553306623957. The next prime is 2553306624031. The reversal of 2553306624000 is 4266033552.

2553306624000 is a `hidden beast` number, since 2 + 553 + 3 + 0 + 6 + 62 + 40 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 159 ways as a sum of consecutive naturals, for example, 13229567904 + ... + 13229568096.

It is an arithmetic number, because the mean of its divisors is an integer number (5191439418).

Almost surely, 2^{2553306624000} is an apocalyptic number.

2553306624000 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 2553306624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399096994720).

2553306624000 is an abundant number, since it is smaller than the sum of its proper divisors (8244887365440).

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

2553306624000 is a wasteful number, since it uses less digits than its factorization.

2553306624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 2553306624000 in words is "two trillion, five hundred fifty-three billion, three hundred six million, six hundred twenty-four thousand".