25160898007168 has 512 divisors, whose sum is σ = 65791782144000. Its totient is φ = 9494454251520.

The previous prime is 25160898007163. The next prime is 25160898007211. The reversal of 25160898007168 is 86170089806152.

It is a super-2 number, since 2×25160898007168² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25160898007163) 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, 4056243555 + ... + 4056249757.

It is an arithmetic number, because the mean of its divisors is an integer number (128499574500).

Almost surely, 2^{25160898007168} is an apocalyptic number.

25160898007168 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 25160898007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32895891072000).

25160898007168 is an abundant number, since it is smaller than the sum of its proper divisors (40630884136832).

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

25160898007168 is a wasteful number, since it uses less digits than its factorization.

25160898007168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6513 (or 6487 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 61.

The spelling of 25160898007168 in words is "twenty-five trillion, one hundred sixty billion, eight hundred ninety-eight million, seven thousand, one hundred sixty-eight".