26430432000 has 576 divisors, whose sum is σ = 103138473984. Its totient is φ = 5872435200.

The previous prime is 26430431941. The next prime is 26430432001. The reversal of 26430432000 is 23403462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (26430432001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24863469 + ... + 24864531.

Almost surely, 2^26430432000 is an apocalyptic number.

26430432000 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 26430432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51569236992).

26430432000 is an abundant number, since it is smaller than the sum of its proper divisors (76708041984).

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

26430432000 is a wasteful number, since it uses less digits than its factorization.

26430432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 26430432000 its reverse (23403462), we get a palindrome (26453835462).

The spelling of 26430432000 in words is "twenty-six billion, four hundred thirty million, four hundred thirty-two thousand".