25675937280 has 1200 divisors, whose sum is σ = 113187175200. Its totient is φ = 5559902208.

The previous prime is 25675937269. The next prime is 25675937311. The reversal of 25675937280 is 8273957652.

25675937280 is a `hidden beast` number, since 2 + 567 + 5 + 9 + 3 + 72 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1351365111 + ... + 1351365129.

It is an arithmetic number, because the mean of its divisors is an integer number (94322646).

Almost surely, 2^25675937280 is an apocalyptic number.

25675937280 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 25675937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56593587600).

25675937280 is an abundant number, since it is smaller than the sum of its proper divisors (87511237920).

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

25675937280 is an frugal number, since it uses more digits than its factorization.

25675937280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 25675937280 in words is "twenty-five billion, six hundred seventy-five million, nine hundred thirty-seven thousand, two hundred eighty".