26405449360920 has 256 divisors, whose sum is σ = 105886514304000. Its totient is φ = 5717871710208.

The previous prime is 26405449360909. The next prime is 26405449360931. The reversal of 26405449360920 is 2906394450462.

26405449360920 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 5 + 4 + 4 + 9 + 3 + 609 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (26405449360909) and next prime (26405449360931).

It is a super-2 number, since 2×26405449360920² (a number of 28 digits) contains 22 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 63 ways as a sum of consecutive naturals, for example, 91771737 + ... + 92059016.

It is an arithmetic number, because the mean of its divisors is an integer number (413619196500).

Almost surely, 2^{26405449360920} is an apocalyptic number.

26405449360920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26405449360920 is an abundant number, since it is smaller than the sum of its proper divisors (79481064943080).

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

26405449360920 is a wasteful number, since it uses less digits than its factorization.

26405449360920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183830799 (or 183830789 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 26405449360920 in words is "twenty-six trillion, four hundred five billion, four hundred forty-nine million, three hundred sixty thousand, nine hundred twenty".