26426229947100 has 144 divisors (see below), whose sum is σ = 84963536985600. Its totient is φ = 7046322644160.

The previous prime is 26426229947093. The next prime is 26426229947113. The reversal of 26426229947100 is 174992262462.

26426229947100 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 622 + 9 + 9 + 4 + 7 + 1 + 0 + 0 = 666.

It is a super-3 number, since 3×26426229947100³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28177531 + ... + 29100269.

It is an arithmetic number, because the mean of its divisors is an integer number (590024562400).

Almost surely, 2^{26426229947100} is an apocalyptic number.

26426229947100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26426229947100 is an abundant number, since it is smaller than the sum of its proper divisors (58537307038500).

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

26426229947100 is a wasteful number, since it uses less digits than its factorization.

26426229947100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933369 (or 933356 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 26426229947100 in words is "twenty-six trillion, four hundred twenty-six billion, two hundred twenty-nine million, nine hundred forty-seven thousand, one hundred".