2025627202000 has 160 divisors (see below), whose sum is σ = 5157166884480. Its totient is φ = 767395814400.

The previous prime is 2025627201989. The next prime is 2025627202013. The reversal of 2025627202000 is 2027265202.

It is a happy number.

It is a super-2 number, since 2×2025627202000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2025627202000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273102292 + ... + 273109708.

It is an arithmetic number, because the mean of its divisors is an integer number (32232293028).

Almost surely, 2^{2025627202000} is an apocalyptic number.

2025627202000 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 2025627202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578583442240).

2025627202000 is an abundant number, since it is smaller than the sum of its proper divisors (3131539682480).

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

2025627202000 is a wasteful number, since it uses less digits than its factorization.

2025627202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14646 (or 14630 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 2025627202000 in words is "two trillion, twenty-five billion, six hundred twenty-seven million, two hundred two thousand".