2025625190400 has 1920 divisors, whose sum is σ = 8849584260000. Its totient is φ = 457797795840.

The previous prime is 2025625190377. The next prime is 2025625190441. The reversal of 2025625190400 is 40915265202.

2025625190400 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 62 + 5 + 190 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 119 ways as a sum of consecutive naturals, for example, 22759833556 + ... + 22759833644.

Almost surely, 2^{2025625190400} is an apocalyptic number.

2025625190400 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 2025625190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424792130000).

2025625190400 is an abundant number, since it is smaller than the sum of its proper divisors (6823959069600).

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

2025625190400 is an frugal number, since it uses more digits than its factorization.

2025625190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2025625190400 in words is "two trillion, twenty-five billion, six hundred twenty-five million, one hundred ninety thousand, four hundred".