25672357880640 has 336 divisors, whose sum is σ = 93012418699200. Its totient is φ = 6481272029184.

The previous prime is 25672357880627. The next prime is 25672357880647. The reversal of 25672357880640 is 4608875327652.

25672357880640 is a `hidden beast` number, since 2 + 56 + 7 + 2 + 3 + 578 + 8 + 0 + 6 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25672357880647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81320539 + ... + 81635621.

It is an arithmetic number, because the mean of its divisors is an integer number (276822674700).

Almost surely, 2^{25672357880640} is an apocalyptic number.

25672357880640 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 25672357880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46506209349600).

25672357880640 is an abundant number, since it is smaller than the sum of its proper divisors (67340060818560).

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

25672357880640 is a wasteful number, since it uses less digits than its factorization.

25672357880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316614 (or 316601 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 25672357880640 in words is "twenty-five trillion, six hundred seventy-two billion, three hundred fifty-seven million, eight hundred eighty thousand, six hundred forty".