25430197968 has 480 divisors, whose sum is σ = 91143273600. Its totient is φ = 6747826176.

The previous prime is 25430197921. The next prime is 25430197973. The reversal of 25430197968 is 86979103452.

25430197968 is a `hidden beast` number, since 2 + 543 + 0 + 1 + 9 + 7 + 96 + 8 = 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 95 ways as a sum of consecutive naturals, for example, 21315580 + ... + 21316772.

It is an arithmetic number, because the mean of its divisors is an integer number (189881820).

It is a 1-persistent number, because it is pandigital, but 2⋅25430197968 = 50860395936 is not.

Almost surely, 2^25430197968 is an apocalyptic number.

25430197968 is a gapful number since it is divisible by the number (28) 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 25430197968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45571636800).

25430197968 is an abundant number, since it is smaller than the sum of its proper divisors (65713075632).

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

25430197968 is a wasteful number, since it uses less digits than its factorization.

25430197968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 25430197968 in words is "twenty-five billion, four hundred thirty million, one hundred ninety-seven thousand, nine hundred sixty-eight".