25973680320 has 1120 divisors, whose sum is σ = 112005514368. Its totient is φ = 5589762048.

The previous prime is 25973680309. The next prime is 25973680349. The reversal of 25973680320 is 2308637952.

25973680320 is a `hidden beast` number, since 2 + 597 + 36 + 8 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 355803804 + ... + 355803876.

Almost surely, 2^25973680320 is an apocalyptic number.

25973680320 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 25973680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56002757184).

25973680320 is an abundant number, since it is smaller than the sum of its proper divisors (86031834048).

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

25973680320 is a wasteful number, since it uses less digits than its factorization.

25973680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 25973680320 in words is "twenty-five billion, nine hundred seventy-three million, six hundred eighty thousand, three hundred twenty".