2553154584192 has 768 divisors, whose sum is σ = 8343552672000. Its totient is φ = 767517327360.

The previous prime is 2553154584179. The next prime is 2553154584193. The reversal of 2553154584192 is 2914854513552.

2553154584192 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 1 + 54 + 584 + 1 + 9 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2553154584193) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5242616973 + ... + 5242617459.

It is an arithmetic number, because the mean of its divisors is an integer number (10864000875).

Almost surely, 2^{2553154584192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553154584192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171776336000).

2553154584192 is an abundant number, since it is smaller than the sum of its proper divisors (5790398087808).

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

2553154584192 is a wasteful number, since it uses less digits than its factorization.

2553154584192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 719 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 54.

The spelling of 2553154584192 in words is "two trillion, five hundred fifty-three billion, one hundred fifty-four million, five hundred eighty-four thousand, one hundred ninety-two".