26323729920 has 800 divisors, whose sum is σ = 100246405248. Its totient is φ = 6593052672.

The previous prime is 26323729907. The next prime is 26323729963. The reversal of 26323729920 is 2992732362.

26323729920 is a `hidden beast` number, since 2 + 632 + 3 + 7 + 2 + 9 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×26323729920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 360599004 + ... + 360599076.

Almost surely, 2^26323729920 is an apocalyptic number.

26323729920 is a gapful number since it is divisible by the number (20) 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 26323729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50123202624).

26323729920 is an abundant number, since it is smaller than the sum of its proper divisors (73922675328).

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

26323729920 is an equidigital number, since it uses as much as digits as its factorization.

26323729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 26323729920 in words is "twenty-six billion, three hundred twenty-three million, seven hundred twenty-nine thousand, nine hundred twenty".