25970112000 has 1280 divisors, whose sum is σ = 116435404800. Its totient is φ = 5573836800.

The previous prime is 25970111977. The next prime is 25970112031. The reversal of 25970112000 is 21107952.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-3 number, since 3×25970112000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229823944 + ... + 229824056.

It is an arithmetic number, because the mean of its divisors is an integer number (90965160).

Almost surely, 2^25970112000 is an apocalyptic number.

25970112000 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 25970112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58217702400).

25970112000 is an abundant number, since it is smaller than the sum of its proper divisors (90465292800).

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

25970112000 is a wasteful number, since it uses less digits than its factorization.

25970112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 25970112000 its reverse (21107952), we get a palindrome (25991219952).

The spelling of 25970112000 in words is "twenty-five billion, nine hundred seventy million, one hundred twelve thousand".