26729472000 has 896 divisors, whose sum is σ = 111880424448. Its totient is φ = 5505024000.

The previous prime is 26729471939. The next prime is 26729472019. The reversal of 26729472000 is 27492762.

It is a tau number, because it is divible by the number of its divisors (896).

It is a self number, because there is not a number n which added to its sum of digits gives 26729472000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236543944 + ... + 236544056.

Almost surely, 2^26729472000 is an apocalyptic number.

26729472000 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 26729472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55940212224).

26729472000 is an abundant number, since it is smaller than the sum of its proper divisors (85150952448).

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

26729472000 is a wasteful number, since it uses less digits than its factorization.

26729472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 26729472000 in words is "twenty-six billion, seven hundred twenty-nine million, four hundred seventy-two thousand".