25416521416 has 96 divisors (see below), whose sum is σ = 56492223480. Its totient is φ = 10649041920.

The previous prime is 25416521411. The next prime is 25416521419. The reversal of 25416521416 is 61412561452.

It can be written as a sum of positive squares in 4 ways, for example, as 16321084516 + 9095436900 = 127754^2 + 95370^2 .

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (25416521411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15011866 + ... + 15013558.

Almost surely, 2^25416521416 is an apocalyptic number.

25416521416 is a gapful number since it is divisible by the number (26) 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 25416521416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28246111740).

25416521416 is an abundant number, since it is smaller than the sum of its proper divisors (31075702064).

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

25416521416 is a wasteful number, since it uses less digits than its factorization.

25416521416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2912 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The spelling of 25416521416 in words is "twenty-five billion, four hundred sixteen million, five hundred twenty-one thousand, four hundred sixteen".