25927241573772 has 768 divisors, whose sum is σ = 88067612344320. Its totient is φ = 6400386720000.

The previous prime is 25927241573759. The next prime is 25927241573819. The reversal of 25927241573772 is 27737514272952.

25927241573772 is a `hidden beast` number, since 2 + 5 + 92 + 7 + 24 + 157 + 377 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4960250223 + ... + 4960255449.

It is an arithmetic number, because the mean of its divisors is an integer number (114671370240).

Almost surely, 2^{25927241573772} is an apocalyptic number.

25927241573772 is a gapful number since it is divisible by the number (22) 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 25927241573772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44033806172160).

25927241573772 is an abundant number, since it is smaller than the sum of its proper divisors (62140370770548).

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

25927241573772 is a wasteful number, since it uses less digits than its factorization.

25927241573772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5631 (or 5623 counting only the distinct ones).

The product of its digits is 103723200, while the sum is 63.

The spelling of 25927241573772 in words is "twenty-five trillion, nine hundred twenty-seven billion, two hundred forty-one million, five hundred seventy-three thousand, seven hundred seventy-two".