25979299297952 has 384 divisors, whose sum is σ = 69319554071040. Its totient is φ = 9255541800960.

The previous prime is 25979299297951. The next prime is 25979299297999.

25979299297952 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (25979299297951) 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, 1694773424 + ... + 1694788752.

It is an arithmetic number, because the mean of its divisors is an integer number (180519672060).

Almost surely, 2^{25979299297952} is an apocalyptic number.

25979299297952 is a gapful number since it is divisible by the number (22) 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 25979299297952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34659777035520).

25979299297952 is an abundant number, since it is smaller than the sum of its proper divisors (43340254773088).

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

25979299297952 is a wasteful number, since it uses less digits than its factorization.

25979299297952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15864 (or 15856 counting only the distinct ones).

The product of its digits is 10416243600, while the sum is 86.

The spelling of 25979299297952 in words is "twenty-five trillion, nine hundred seventy-nine billion, two hundred ninety-nine million, two hundred ninety-seven thousand, nine hundred fifty-two".