2553327608832 has 2816 divisors, whose sum is σ = 11045169192960. Its totient is φ = 567575838720.

The previous prime is 2553327608809. The next prime is 2553327608851. The reversal of 2553327608832 is 2388067233552.

It is a happy number.

2553327608832 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 3 + 27 + 608 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38109367263 + ... + 38109367329.

Almost surely, 2^{2553327608832} is an apocalyptic number.

2553327608832 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 2553327608832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5522584596480).

2553327608832 is an abundant number, since it is smaller than the sum of its proper divisors (8491841584128).

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

2553327608832 is a wasteful number, since it uses less digits than its factorization.

2553327608832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 2553327608832 in words is "two trillion, five hundred fifty-three billion, three hundred twenty-seven million, six hundred eight thousand, eight hundred thirty-two".