26234727574272 has 864 divisors, whose sum is σ = 85975545600000. Its totient is φ = 6954492100608.

The previous prime is 26234727574259. The next prime is 26234727574273. The reversal of 26234727574272 is 27247572743262.

It is not an unprimeable number, because it can be changed into a prime (26234727574273) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21004585104 + ... + 21004586352.

Almost surely, 2^{26234727574272} 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 26234727574272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42987772800000).

26234727574272 is an abundant number, since it is smaller than the sum of its proper divisors (59740818025728).

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

26234727574272 is a wasteful number, since it uses less digits than its factorization.

26234727574272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1496 counting only the distinct ones).

The product of its digits is 110638080, while the sum is 60.

The spelling of 26234727574272 in words is "twenty-six trillion, two hundred thirty-four billion, seven hundred twenty-seven million, five hundred seventy-four thousand, two hundred seventy-two".