25446855672 has 640 divisors, whose sum is σ = 88846602240. Its totient is φ = 6651279360.

The previous prime is 25446855613. The next prime is 25446855689. The reversal of 25446855672 is 27655864452.

25446855672 is a `hidden beast` number, since 2 + 5 + 446 + 85 + 56 + 72 = 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 159 ways as a sum of consecutive naturals, for example, 348587028 + ... + 348587100.

It is an arithmetic number, because the mean of its divisors is an integer number (138822816).

Almost surely, 2^25446855672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25446855672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44423301120).

25446855672 is an abundant number, since it is smaller than the sum of its proper divisors (63399746568).

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

25446855672 is a wasteful number, since it uses less digits than its factorization.

25446855672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 54.

The spelling of 25446855672 in words is "twenty-five billion, four hundred forty-six million, eight hundred fifty-five thousand, six hundred seventy-two".