2025754822800 has 840 divisors, whose sum is σ = 7775650826496. Its totient is φ = 505173749760.

The previous prime is 2025754822799. The next prime is 2025754822801. The reversal of 2025754822800 is 82284575202.

2025754822800 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 7 + 548 + 22 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2025754822799) and next prime (2025754822801).

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 (2025754822801) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 827851177 + ... + 827853623.

Almost surely, 2^{2025754822800} is an apocalyptic number.

2025754822800 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 2025754822800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887825413248).

2025754822800 is an abundant number, since it is smaller than the sum of its proper divisors (5749896003696).

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

2025754822800 is a wasteful number, since it uses less digits than its factorization.

2025754822800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 2025754822800 in words is "two trillion, twenty-five billion, seven hundred fifty-four million, eight hundred twenty-two thousand, eight hundred".