25197126864 has 320 divisors, whose sum is σ = 84282605568. Its totient is φ = 6307891200.

The previous prime is 25197126863. The next prime is 25197126883. The reversal of 25197126864 is 46862179152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25197126863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7174869 + ... + 7178379.

Almost surely, 2^25197126864 is an apocalyptic number.

25197126864 is a gapful number since it is divisible by the number (24) 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 25197126864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42141302784).

25197126864 is an abundant number, since it is smaller than the sum of its proper divisors (59085478704).

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

25197126864 is a wasteful number, since it uses less digits than its factorization.

25197126864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3620 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The spelling of 25197126864 in words is "twenty-five billion, one hundred ninety-seven million, one hundred twenty-six thousand, eight hundred sixty-four".