25421812416 has 1344 divisors, whose sum is σ = 107361386496. Its totient is φ = 5748019200.

The previous prime is 25421812397. The next prime is 25421812421. The reversal of 25421812416 is 61421812452.

25421812416 is a `hidden beast` number, since 2 + 542 + 1 + 81 + 24 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 358053661 + ... + 358053731.

It is an arithmetic number, because the mean of its divisors is an integer number (79881984).

Almost surely, 2^25421812416 is an apocalyptic number.

25421812416 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 25421812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53680693248).

25421812416 is an abundant number, since it is smaller than the sum of its proper divisors (81939574080).

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

25421812416 is a wasteful number, since it uses less digits than its factorization.

25421812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

Adding to 25421812416 its sum of digits (36), we get a palindrome (25421812452).

The spelling of 25421812416 in words is "twenty-five billion, four hundred twenty-one million, eight hundred twelve thousand, four hundred sixteen".