2025627052800 has 432 divisors, whose sum is σ = 7205206615040. Its totient is φ = 498201477120.

The previous prime is 2025627052777. The next prime is 2025627052807. The reversal of 2025627052800 is 82507265202.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2025627052807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391120611 + ... + 391125789.

Almost surely, 2^{2025627052800} is an apocalyptic number.

2025627052800 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 2025627052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602603307520).

2025627052800 is an abundant number, since it is smaller than the sum of its proper divisors (5179579562240).

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

2025627052800 is a wasteful number, since it uses less digits than its factorization.

2025627052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6788 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 2025627052800 in words is "two trillion, twenty-five billion, six hundred twenty-seven million, fifty-two thousand, eight hundred".