25449016320 has 1584 divisors, whose sum is σ = 120356722080. Its totient is φ = 5053612032.

The previous prime is 25449016319. The next prime is 25449016339. The reversal of 25449016320 is 2361094452.

It is a happy number.

25449016320 is a `hidden beast` number, since 2 + 5 + 4 + 490 + 163 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1497000952 + ... + 1497000968.

Almost surely, 2^25449016320 is an apocalyptic number.

25449016320 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 25449016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60178361040).

25449016320 is an abundant number, since it is smaller than the sum of its proper divisors (94907705760).

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

25449016320 is a wasteful number, since it uses less digits than its factorization.

25449016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 25449016320 in words is "twenty-five billion, four hundred forty-nine million, sixteen thousand, three hundred twenty".