25978965742080 has 480 divisors, whose sum is σ = 97146838204416. Its totient is φ = 6378097508352.

The previous prime is 25978965742063. The next prime is 25978965742087. The reversal of 25978965742080 is 8024756987952.

25978965742080 is a `hidden beast` number, since 2 + 5 + 9 + 78 + 9 + 6 + 57 + 420 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×25978965742080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (25978965742087) 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, 114602929 + ... + 114829391.

Almost surely, 2^{25978965742080} is an apocalyptic number.

25978965742080 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 25978965742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48573419102208).

25978965742080 is an abundant number, since it is smaller than the sum of its proper divisors (71167872462336).

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

25978965742080 is a wasteful number, since it uses less digits than its factorization.

25978965742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226888 (or 226869 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 25978965742080 in words is "twenty-five trillion, nine hundred seventy-eight billion, nine hundred sixty-five million, seven hundred forty-two thousand, eighty".