2553676830720 has 768 divisors, whose sum is σ = 9647919590400. Its totient is φ = 638496276480.

The previous prime is 2553676830629. The next prime is 2553676830769. The reversal of 2553676830720 is 270386763552.

It is a happy number.

2553676830720 is a `hidden beast` number, since 2 + 5 + 536 + 7 + 6 + 8 + 30 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2553676830720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1461748887 + ... + 1461750633.

It is an arithmetic number, because the mean of its divisors is an integer number (12562395300).

Almost surely, 2^{2553676830720} is an apocalyptic number.

2553676830720 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 2553676830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823959795200).

2553676830720 is an abundant number, since it is smaller than the sum of its proper divisors (7094242759680).

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

2553676830720 is a wasteful number, since it uses less digits than its factorization.

2553676830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 2553676830720 in words is "two trillion, five hundred fifty-three billion, six hundred seventy-six million, eight hundred thirty thousand, seven hundred twenty".