2553865530480 has 1200 divisors, whose sum is σ = 10242410381280. Its totient is φ = 584777318400.

The previous prime is 2553865530467. The next prime is 2553865530497. The reversal of 2553865530480 is 840355683552.

It is a happy number.

2553865530480 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 8 + 6 + 553 + 0 + 4 + 80 = 666.

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 239 ways as a sum of consecutive naturals, for example, 3355933300 + ... + 3355934060.

Almost surely, 2^{2553865530480} is an apocalyptic number.

2553865530480 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 2553865530480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121205190640).

2553865530480 is an abundant number, since it is smaller than the sum of its proper divisors (7688544850800).

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

2553865530480 is a wasteful number, since it uses less digits than its factorization.

2553865530480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 2553865530480 in words is "two trillion, five hundred fifty-three billion, eight hundred sixty-five million, five hundred thirty thousand, four hundred eighty".