25079466240 has 864 divisors, whose sum is σ = 98794859520. Its totient is φ = 6091407360.

The previous prime is 25079466239. The next prime is 25079466263. The reversal of 25079466240 is 4266497052.

25079466240 is a `hidden beast` number, since 2 + 507 + 9 + 46 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 809015025 + ... + 809015055.

Almost surely, 2^25079466240 is an apocalyptic number.

25079466240 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 25079466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49397429760).

25079466240 is an abundant number, since it is smaller than the sum of its proper divisors (73715393280).

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

25079466240 is an frugal number, since it uses more digits than its factorization.

25079466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 25079466240 in words is "twenty-five billion, seventy-nine million, four hundred sixty-six thousand, two hundred forty".