25726417938 has 160 divisors (see below), whose sum is σ = 63513616320. Its totient is φ = 7734787200.

The previous prime is 25726417931. The next prime is 25726417961. The reversal of 25726417938 is 83971462752.

It is a happy number.

25726417938 is a `hidden beast` number, since 2 + 572 + 64 + 1 + 7 + 9 + 3 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (25726417931) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24477513 + ... + 24478563.

It is an arithmetic number, because the mean of its divisors is an integer number (396960102).

Almost surely, 2^25726417938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25726417938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31756808160).

25726417938 is an abundant number, since it is smaller than the sum of its proper divisors (37787198382).

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

25726417938 is a wasteful number, since it uses less digits than its factorization.

25726417938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1325 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 25726417938 in words is "twenty-five billion, seven hundred twenty-six million, four hundred seventeen thousand, nine hundred thirty-eight".