25946164272 has 160 divisors (see below), whose sum is σ = 77259055104. Its totient is φ = 7349990400.

The previous prime is 25946164259. The next prime is 25946164273. The reversal of 25946164272 is 27246164952.

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

It is not an unprimeable number, because it can be changed into a prime (25946164273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29584698 + ... + 29585574.

Almost surely, 2^25946164272 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 25946164272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38629527552).

25946164272 is an abundant number, since it is smaller than the sum of its proper divisors (51312890832).

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

25946164272 is a wasteful number, since it uses less digits than its factorization.

25946164272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1541 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 25946164272 in words is "twenty-five billion, nine hundred forty-six million, one hundred sixty-four thousand, two hundred seventy-two".