25973176320 has 1152 divisors, whose sum is σ = 117338457600. Its totient is φ = 5159780352.

The previous prime is 25973176297. The next prime is 25973176349. The reversal of 25973176320 is 2367137952.

25973176320 is a `hidden beast` number, since 2 + 5 + 9 + 7 + 3 + 1 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159344559 + ... + 159344721.

It is an arithmetic number, because the mean of its divisors is an integer number (101856300).

Almost surely, 2^25973176320 is an apocalyptic number.

25973176320 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 25973176320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58669228800).

25973176320 is an abundant number, since it is smaller than the sum of its proper divisors (91365281280).

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

25973176320 is a wasteful number, since it uses less digits than its factorization.

25973176320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 25973176320 in words is "twenty-five billion, nine hundred seventy-three million, one hundred seventy-six thousand, three hundred twenty".