2553052349232 has 1440 divisors, whose sum is σ = 9665156390400. Its totient is φ = 642660480000.

The previous prime is 2553052349171. The next prime is 2553052349233. The reversal of 2553052349232 is 2329432503552.

2553052349232 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 0 + 523 + 4 + 92 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (2553052349233) by changing a digit.

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, 18367283019 + ... + 18367283157.

It is an arithmetic number, because the mean of its divisors is an integer number (6711914160).

Almost surely, 2^{2553052349232} is an apocalyptic number.

2553052349232 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 2553052349232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832578195200).

2553052349232 is an abundant number, since it is smaller than the sum of its proper divisors (7112104041168).

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

2553052349232 is a wasteful number, since it uses less digits than its factorization.

2553052349232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 2553052349232 in words is "two trillion, five hundred fifty-three billion, fifty-two million, three hundred forty-nine thousand, two hundred thirty-two".