25057406287872 has 1224 divisors, whose sum is σ = 88306341098976. Its totient is φ = 7079218642944.

The previous prime is 25057406287861. The next prime is 25057406287891. The reversal of 25057406287872 is 27878260475052.

25057406287872 is a `hidden beast` number, since 2 + 50 + 574 + 0 + 6 + 2 + 8 + 7 + 8 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127194955678 + ... + 127194955874.

Almost surely, 2^{25057406287872} 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 25057406287872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44153170549488).

25057406287872 is an abundant number, since it is smaller than the sum of its proper divisors (63248934811104).

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

25057406287872 is an frugal number, since it uses more digits than its factorization.

25057406287872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 63.

The spelling of 25057406287872 in words is "twenty-five trillion, fifty-seven billion, four hundred six million, two hundred eighty-seven thousand, eight hundred seventy-two".