25541416368 has 400 divisors, whose sum is σ = 85026467680. Its totient is φ = 7336562688.

The previous prime is 25541416357. The next prime is 25541416379. The reversal of 25541416368 is 86361414552.

25541416368 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 1 + 4 + 1 + 636 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (25541416357) and next prime (25541416379).

It is a super-2 number, since 2×25541416368² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23367630 + ... + 23368722.

Almost surely, 2^25541416368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25541416368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42513233840).

25541416368 is an abundant number, since it is smaller than the sum of its proper divisors (59485051312).

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

25541416368 is a wasteful number, since it uses less digits than its factorization.

25541416368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1203 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 25541416368 in words is "twenty-five billion, five hundred forty-one million, four hundred sixteen thousand, three hundred sixty-eight".