25633445376 has 960 divisors, whose sum is σ = 97178780160. Its totient is φ = 5839257600.

The previous prime is 25633445339. The next prime is 25633445381. The reversal of 25633445376 is 67354433652.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (5443200) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 420220386 + ... + 420220446.

It is an arithmetic number, because the mean of its divisors is an integer number (101227896).

Almost surely, 2^25633445376 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 25633445376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48589390080).

25633445376 is an abundant number, since it is smaller than the sum of its proper divisors (71545334784).

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

25633445376 is a wasteful number, since it uses less digits than its factorization.

25633445376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 48.

The spelling of 25633445376 in words is "twenty-five billion, six hundred thirty-three million, four hundred forty-five thousand, three hundred seventy-six".