2025113024000 has 640 divisors, whose sum is σ = 5860071360000. Its totient is φ = 690278400000.

The previous prime is 2025113023991. The next prime is 2025113024059. The reversal of 2025113024000 is 4203115202.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1350975251 + ... + 1350976749.

It is an arithmetic number, because the mean of its divisors is an integer number (9156361500).

Almost surely, 2^{2025113024000} is an apocalyptic number.

2025113024000 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 2025113024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930035680000).

2025113024000 is an abundant number, since it is smaller than the sum of its proper divisors (3834958336000).

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

2025113024000 is a wasteful number, since it uses less digits than its factorization.

2025113024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 2025113024000 its reverse (4203115202), we get a palindrome (2029316139202).

The spelling of 2025113024000 in words is "two trillion, twenty-five billion, one hundred thirteen million, twenty-four thousand".