25330038552 has 512 divisors, whose sum is σ = 92536012800. Its totient is φ = 6236600832.

The previous prime is 25330038523. The next prime is 25330038581. The reversal of 25330038552 is 25583003352.

It is an interprime number because it is at equal distance from previous prime (25330038523) and next prime (25330038581).

It is a super-2 number, since 2×25330038552² (a number of 22 digits) contains 22 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 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, 19439133 + ... + 19440435.

It is an arithmetic number, because the mean of its divisors is an integer number (180734400).

Almost surely, 2^25330038552 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 25330038552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46268006400).

25330038552 is an abundant number, since it is smaller than the sum of its proper divisors (67205974248).

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

25330038552 is a wasteful number, since it uses less digits than its factorization.

25330038552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 25330038552 in words is "twenty-five billion, three hundred thirty million, thirty-eight thousand, five hundred fifty-two".