25330953120 has 384 divisors, whose sum is σ = 90667745280. Its totient is φ = 5938099200.

The previous prime is 25330953113. The next prime is 25330953133. The reversal of 25330953120 is 2135903352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 19804641 + ... + 19805919.

It is an arithmetic number, because the mean of its divisors is an integer number (236113920).

Almost surely, 2^25330953120 is an apocalyptic number.

25330953120 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 25330953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45333872640).

25330953120 is an abundant number, since it is smaller than the sum of its proper divisors (65336792160).

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

25330953120 is a wasteful number, since it uses less digits than its factorization.

25330953120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

The spelling of 25330953120 in words is "twenty-five billion, three hundred thirty million, nine hundred fifty-three thousand, one hundred twenty".