26672724926144 has 224 divisors, whose sum is σ = 59339102860800. Its totient is φ = 11793187676160.

The previous prime is 26672724926101. The next prime is 26672724926147. The reversal of 26672724926144 is 44162942727662.

It is a super-2 number, since 2×26672724926144² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26672724926147) by changing a digit.

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, 3522077942 + ... + 3522085514.

It is an arithmetic number, because the mean of its divisors is an integer number (264906709200).

Almost surely, 2^{26672724926144} 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 26672724926144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29669551430400).

26672724926144 is an abundant number, since it is smaller than the sum of its proper divisors (32666377934656).

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

26672724926144 is a wasteful number, since it uses less digits than its factorization.

26672724926144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8591 (or 8581 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 62.

The spelling of 26672724926144 in words is "twenty-six trillion, six hundred seventy-two billion, seven hundred twenty-four million, nine hundred twenty-six thousand, one hundred forty-four".