25133111300000 has 288 divisors, whose sum is σ = 67860028430208. Its totient is φ = 9086416000000.

The previous prime is 25133111299997. The next prime is 25133111300009. The reversal of 25133111300000 is 311133152.

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

It is not an unprimeable number, because it can be changed into a prime (25133111300009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190233965 + ... + 190366035.

It is an arithmetic number, because the mean of its divisors is an integer number (235625098716).

Almost surely, 2^{25133111300000} is an apocalyptic number.

25133111300000 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 25133111300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33930014215104).

25133111300000 is an abundant number, since it is smaller than the sum of its proper divisors (42726917130208).

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

25133111300000 is a wasteful number, since it uses less digits than its factorization.

25133111300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132290 (or 132262 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 25133111300000 its reverse (311133152), we get a palindrome (25133422433152).

The spelling of 25133111300000 in words is "twenty-five trillion, one hundred thirty-three billion, one hundred eleven million, three hundred thousand".