2025138672000 has 896 divisors, whose sum is σ = 7810664565600. Its totient is φ = 521327923200.

The previous prime is 2025138671999. The next prime is 2025138672001. The reversal of 2025138672000 is 2768315202.

2025138672000 is a `hidden beast` number, since 2 + 0 + 251 + 386 + 7 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2025138671999) and next prime (2025138672001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025138672001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 338253007 + ... + 338258993.

Almost surely, 2^{2025138672000} is an apocalyptic number.

2025138672000 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 2025138672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905332282800).

2025138672000 is an abundant number, since it is smaller than the sum of its proper divisors (5785525893600).

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

2025138672000 is an frugal number, since it uses more digits than its factorization.

2025138672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6063 (or 6026 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 2025138672000 in words is "two trillion, twenty-five billion, one hundred thirty-eight million, six hundred seventy-two thousand".