25693323264 has 408 divisors, whose sum is σ = 87240857600. Its totient is φ = 7283146752.

The previous prime is 25693323251. The next prime is 25693323283. The reversal of 25693323264 is 46232339652.

25693323264 is a `hidden beast` number, since 2 + 5 + 69 + 3 + 323 + 264 = 666.

It is a super-2 number, since 2×25693323264² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202309569 + ... + 202309695.

Almost surely, 2^25693323264 is an apocalyptic number.

25693323264 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 25693323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43620428800).

25693323264 is an abundant number, since it is smaller than the sum of its proper divisors (61547534336).

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

25693323264 is an frugal number, since it uses more digits than its factorization.

25693323264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 139 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The spelling of 25693323264 in words is "twenty-five billion, six hundred ninety-three million, three hundred twenty-three thousand, two hundred sixty-four".