26412621312 has 480 divisors, whose sum is σ = 90931572864. Its totient is φ = 6735052800.

The previous prime is 26412621311. The next prime is 26412621337. The reversal of 26412621312 is 21312621462.

It is a super-2 number, since 2×26412621312² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 26412621312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26412621311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50501883 + ... + 50502405.

Almost surely, 2^26412621312 is an apocalyptic number.

26412621312 is a gapful number since it is divisible by the number (22) 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 26412621312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45465786432).

26412621312 is an abundant number, since it is smaller than the sum of its proper divisors (64518951552).

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

26412621312 is a wasteful number, since it uses less digits than its factorization.

26412621312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 607 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The spelling of 26412621312 in words is "twenty-six billion, four hundred twelve million, six hundred twenty-one thousand, three hundred twelve".