25903477430952 has 256 divisors, whose sum is σ = 73601385523200. Its totient is φ = 7525042560000.

The previous prime is 25903477430927. The next prime is 25903477430989.

It is a happy number.

25903477430952 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3233484627 + ... + 3233492637.

It is an arithmetic number, because the mean of its divisors is an integer number (287505412200).

Almost surely, 2^{25903477430952} is an apocalyptic number.

25903477430952 is a gapful number since it is divisible by the number (22) 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 25903477430952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36800692761600).

25903477430952 is an abundant number, since it is smaller than the sum of its proper divisors (47697908092248).

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

25903477430952 is a wasteful number, since it uses less digits than its factorization.

25903477430952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11008 (or 11004 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 60.

The spelling of 25903477430952 in words is "twenty-five trillion, nine hundred three billion, four hundred seventy-seven million, four hundred thirty thousand, nine hundred fifty-two".