26493929848512 has 980 divisors, whose sum is σ = 95916547699160. Its totient is φ = 7171289282304.

The previous prime is 26493929848511. The next prime is 26493929848601. The reversal of 26493929848512 is 21584892939462.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

26493929848512 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 3 + 9 + 29 + 84 + 8 + 512 = 666.

It is a super-2 number, since 2×26493929848512² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 26493929848512 = 3724³ + 29792³ = 16758³ + 27930³.

It is not an unprimeable number, because it can be changed into a prime (26493929848511) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 1394417360439 + ... + 1394417360457.

Almost surely, 2^{26493929848512} 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 26493929848512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47958273849580).

26493929848512 is an abundant number, since it is smaller than the sum of its proper divisors (69422617850648).

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

26493929848512 is an frugal number, since it uses more digits than its factorization.

26493929848512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 31 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 72.

It can be divided in two parts, 26493929 and 848512, that added together give a square (27342441 = 5229²).

The spelling of 26493929848512 in words is "twenty-six trillion, four hundred ninety-three billion, nine hundred twenty-nine million, eight hundred forty-eight thousand, five hundred twelve".