26239749120 has 880 divisors, whose sum is σ = 105193659648. Its totient is φ = 6210846720.

The previous prime is 26239749119. The next prime is 26239749139. The reversal of 26239749120 is 2194793262.

26239749120 is a `hidden beast` number, since 2 + 623 + 9 + 7 + 4 + 9 + 12 + 0 = 666.

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

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, 167132082 + ... + 167132238.

Almost surely, 2^26239749120 is an apocalyptic number.

26239749120 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 26239749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52596829824).

26239749120 is an abundant number, since it is smaller than the sum of its proper divisors (78953910528).

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

26239749120 is a wasteful number, since it uses less digits than its factorization.

26239749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 26239749120 in words is "twenty-six billion, two hundred thirty-nine million, seven hundred forty-nine thousand, one hundred twenty".