2552725296000 has 768 divisors, whose sum is σ = 10026393062400. Its totient is φ = 617264640000.

The previous prime is 2552725295957. The next prime is 2552725296001. The reversal of 2552725296000 is 6925272552.

2552725296000 is a `hidden beast` number, since 2 + 5 + 52 + 72 + 529 + 6 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552725296001) 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, 695374165 + ... + 695377835.

It is an arithmetic number, because the mean of its divisors is an integer number (13055199300).

Almost surely, 2^{2552725296000} is an apocalyptic number.

2552725296000 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 2552725296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013196531200).

2552725296000 is an abundant number, since it is smaller than the sum of its proper divisors (7473667766400).

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

2552725296000 is a wasteful number, since it uses less digits than its factorization.

2552725296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 2552725296000 in words is "two trillion, five hundred fifty-two billion, seven hundred twenty-five million, two hundred ninety-six thousand".