26172232632 has 768 divisors, whose sum is σ = 99066240000. Its totient is φ = 6039650304.

The previous prime is 26172232627. The next prime is 26172232663. The reversal of 26172232632 is 23623227162.

26172232632 is a `hidden beast` number, since 2 + 6 + 17 + 2 + 2 + 3 + 2 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 175652494 + ... + 175652642.

It is an arithmetic number, because the mean of its divisors is an integer number (128992500).

Almost surely, 2^26172232632 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 26172232632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120000).

26172232632 is an abundant number, since it is smaller than the sum of its proper divisors (72894007368).

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

26172232632 is a wasteful number, since it uses less digits than its factorization.

26172232632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 293 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

Adding to 26172232632 its reverse (23623227162), we get a palindrome (49795459794).

The spelling of 26172232632 in words is "twenty-six billion, one hundred seventy-two million, two hundred thirty-two thousand, six hundred thirty-two".