25271318016 has 480 divisors, whose sum is σ = 86815872000. Its totient is φ = 7071805440.

The previous prime is 25271317949. The next prime is 25271318029. The reversal of 25271318016 is 61081317252.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 93251961 + ... + 93252231.

It is an arithmetic number, because the mean of its divisors is an integer number (180866400).

Almost surely, 2^25271318016 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 25271318016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43407936000).

25271318016 is an abundant number, since it is smaller than the sum of its proper divisors (61544553984).

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

25271318016 is an equidigital number, since it uses as much as digits as its factorization.

25271318016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 25271318016 in words is "twenty-five billion, two hundred seventy-one million, three hundred eighteen thousand, sixteen".