25225090416 has 320 divisors, whose sum is σ = 80319859200. Its totient is φ = 7543517184.

The previous prime is 25225090409. The next prime is 25225090477. The reversal of 25225090416 is 61409052252.

25225090416 is a `hidden beast` number, since 2 + 522 + 5 + 0 + 90 + 41 + 6 = 666.

It is a super-3 number, since 3×25225090416³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17676295 + ... + 17677721.

It is an arithmetic number, because the mean of its divisors is an integer number (250999560).

Almost surely, 2^25225090416 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 25225090416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40159929600).

25225090416 is an abundant number, since it is smaller than the sum of its proper divisors (55094768784).

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

25225090416 is a wasteful number, since it uses less digits than its factorization.

25225090416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 25225090416 in words is "twenty-five billion, two hundred twenty-five million, ninety thousand, four hundred sixteen".