26742452000 has 192 divisors, whose sum is σ = 72286276608. Its totient is φ = 9722592000.

The previous prime is 26742451979. The next prime is 26742452059. The reversal of 26742452000 is 25424762.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5321489 + ... + 5326511.

It is an arithmetic number, because the mean of its divisors is an integer number (376491024).

Almost surely, 2^26742452000 is an apocalyptic number.

26742452000 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 26742452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36143138304).

26742452000 is an abundant number, since it is smaller than the sum of its proper divisors (45543824608).

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

26742452000 is an equidigital number, since it uses as much as digits as its factorization.

26742452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

Adding to 26742452000 its reverse (25424762), we get a palindrome (26767876762).

The spelling of 26742452000 in words is "twenty-six billion, seven hundred forty-two million, four hundred fifty-two thousand".