2553459678352 has 80 divisors (see below), whose sum is σ = 5453112407040. Its totient is φ = 1148645836800.

The previous prime is 2553459678337. The next prime is 2553459678401. The reversal of 2553459678352 is 2538769543552.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13048849 + ... + 13243087.

It is an arithmetic number, because the mean of its divisors is an integer number (68163905088).

Almost surely, 2^{2553459678352} is an apocalyptic number.

2553459678352 is a gapful number since it is divisible by the number (22) 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 2553459678352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726556203520).

2553459678352 is an abundant number, since it is smaller than the sum of its proper divisors (2899652728688).

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

2553459678352 is a wasteful number, since it uses less digits than its factorization.

2553459678352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195032 (or 195026 counting only the distinct ones).

The product of its digits is 272160000, while the sum is 64.

The spelling of 2553459678352 in words is "two trillion, five hundred fifty-three billion, four hundred fifty-nine million, six hundred seventy-eight thousand, three hundred fifty-two".