25416538290 has 256 divisors, whose sum is σ = 79961333760. Its totient is φ = 5663727360.

The previous prime is 25416538229. The next prime is 25416538319. The reversal of 25416538290 is 9283561452.

25416538290 is a `hidden beast` number, since 25 + 4 + 1 + 6 + 538 + 2 + 90 = 666.

It is a super-2 number, since 2×25416538290² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 10153179 + ... + 10155681.

It is an arithmetic number, because the mean of its divisors is an integer number (312348960).

Almost surely, 2^25416538290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25416538290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39980666880).

25416538290 is an abundant number, since it is smaller than the sum of its proper divisors (54544795470).

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

25416538290 is a wasteful number, since it uses less digits than its factorization.

25416538290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 25416538290 in words is "twenty-five billion, four hundred sixteen million, five hundred thirty-eight thousand, two hundred ninety".