25375113216 has 512 divisors, whose sum is σ = 83045952000. Its totient is φ = 7629963264.

The previous prime is 25375113199. The next prime is 25375113233. The reversal of 25375113216 is 61231157352.

25375113216 is a `hidden beast` number, since 2 + 537 + 5 + 113 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (25375113199) and next prime (25375113233).

It is a tau number, because it is divible by the number of its divisors (512).

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

Its product of digits (37800) is a multiple of the sum of its prime divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590118891 + ... + 590118933.

It is an arithmetic number, because the mean of its divisors is an integer number (162199125).

Almost surely, 2^25375113216 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 25375113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41522976000).

25375113216 is an abundant number, since it is smaller than the sum of its proper divisors (57670838784).

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

25375113216 is an equidigital number, since it uses as much as digits as its factorization.

25375113216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 100 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The spelling of 25375113216 in words is "twenty-five billion, three hundred seventy-five million, one hundred thirteen thousand, two hundred sixteen".