2553517327200 has 864 divisors, whose sum is σ = 10615504564224. Its totient is φ = 520395079680.

The previous prime is 2553517327157. The next prime is 2553517327271. The reversal of 2553517327200 is 27237153552.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 103089217 + ... + 103113983.

It is an arithmetic number, because the mean of its divisors is an integer number (12286463616).

Almost surely, 2^{2553517327200} is an apocalyptic number.

2553517327200 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 2553517327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307752282112).

2553517327200 is an abundant number, since it is smaller than the sum of its proper divisors (8061987237024).

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

2553517327200 is a wasteful number, since it uses less digits than its factorization.

2553517327200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24852 (or 24820 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 42.

The spelling of 2553517327200 in words is "two trillion, five hundred fifty-three billion, five hundred seventeen million, three hundred twenty-seven thousand, two hundred".