25475728824 has 256 divisors, whose sum is σ = 89908224000. Its totient is φ = 6501980160.

The previous prime is 25475728783. The next prime is 25475728829. The reversal of 25475728824 is 42882757452.

It is a happy number.

25475728824 is a `hidden beast` number, since 2 + 5 + 47 + 572 + 8 + 8 + 24 = 666.

It is a super-2 number, since 2×25475728824² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25475728829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 588432 + ... + 630240.

It is an arithmetic number, because the mean of its divisors is an integer number (351204000).

Almost surely, 2^25475728824 is an apocalyptic number.

25475728824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25475728824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44954112000).

25475728824 is an abundant number, since it is smaller than the sum of its proper divisors (64432495176).

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

25475728824 is a wasteful number, since it uses less digits than its factorization.

25475728824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41875 (or 41865 counting only the distinct ones).

The product of its digits is 10035200, while the sum is 54.

The spelling of 25475728824 in words is "twenty-five billion, four hundred seventy-five million, seven hundred twenty-eight thousand, eight hundred twenty-four".