25496397302880 has 1536 divisors, whose sum is σ = 105161160867840. Its totient is φ = 5052125675520.

The previous prime is 25496397302879. The next prime is 25496397302881. The reversal of 25496397302880 is 8820379369452.

It is an interprime number because it is at equal distance from previous prime (25496397302879) and next prime (25496397302881).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25496397302881) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11246755507 + ... + 11246757773.

It is an arithmetic number, because the mean of its divisors is an integer number (68464297440).

Almost surely, 2^{25496397302880} is an apocalyptic number.

25496397302880 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 25496397302880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52580580433920).

25496397302880 is an abundant number, since it is smaller than the sum of its proper divisors (79664763564960).

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

25496397302880 is a wasteful number, since it uses less digits than its factorization.

25496397302880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 25496397302880 in words is "twenty-five trillion, four hundred ninety-six billion, three hundred ninety-seven million, three hundred two thousand, eight hundred eighty".