25617190368 has 384 divisors, whose sum is σ = 87970821120. Its totient is φ = 6332497920.

The previous prime is 25617190343. The next prime is 25617190369. The reversal of 25617190368 is 86309171652.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25617190369) 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, 15648046 + ... + 15649682.

It is an arithmetic number, because the mean of its divisors is an integer number (229090680).

Almost surely, 2^25617190368 is an apocalyptic number.

25617190368 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 25617190368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43985410560).

25617190368 is an abundant number, since it is smaller than the sum of its proper divisors (62353630752).

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

25617190368 is a wasteful number, since it uses less digits than its factorization.

25617190368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 25617190368 in words is "twenty-five billion, six hundred seventeen million, one hundred ninety thousand, three hundred sixty-eight".