26172432000 has 1536 divisors, whose sum is σ = 116766074880. Its totient is φ = 5529600000.

The previous prime is 26172431983. The next prime is 26172432001. The reversal of 26172432000 is 23427162.

26172432000 is a `hidden beast` number, since 2 + 617 + 2 + 43 + 2 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26172432001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 638351980 + ... + 638352020.

It is an arithmetic number, because the mean of its divisors is an integer number (76019580).

Almost surely, 2^26172432000 is an apocalyptic number.

26172432000 is a gapful number since it is divisible by the number (20) 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 26172432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58383037440).

26172432000 is an abundant number, since it is smaller than the sum of its proper divisors (90593642880).

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

26172432000 is a wasteful number, since it uses less digits than its factorization.

26172432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 26172432000 its reverse (23427162), we get a palindrome (26195859162).

The spelling of 26172432000 in words is "twenty-six billion, one hundred seventy-two million, four hundred thirty-two thousand".