2025128754000 has 1440 divisors, whose sum is σ = 8270451371520. Its totient is φ = 457470720000.

The previous prime is 2025128753993. The next prime is 2025128754017. The reversal of 2025128754000 is 4578215202.

It is a happy number.

2025128754000 is a `hidden beast` number, since 2 + 0 + 25 + 12 + 87 + 540 + 0 + 0 = 666.

It is a super-2 number, since 2×2025128754000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5518061817 + ... + 5518062183.

It is an arithmetic number, because the mean of its divisors is an integer number (5743369008).

Almost surely, 2^{2025128754000} is an apocalyptic number.

2025128754000 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 2025128754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135225685760).

2025128754000 is an abundant number, since it is smaller than the sum of its proper divisors (6245322617520).

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

2025128754000 is a wasteful number, since it uses less digits than its factorization.

2025128754000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 2025128754000 in words is "two trillion, twenty-five billion, one hundred twenty-eight million, seven hundred fifty-four thousand".