26789253120 has 624 divisors, whose sum is σ = 110197127040. Its totient is φ = 6115295232.

The previous prime is 26789253103. The next prime is 26789253131. The reversal of 26789253120 is 2135298762.

26789253120 is a `hidden beast` number, since 2 + 6 + 7 + 8 + 92 + 531 + 20 = 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 47 ways as a sum of consecutive naturals, for example, 34836096 + ... + 34836864.

It is an arithmetic number, because the mean of its divisors is an integer number (176597960).

Almost surely, 2^26789253120 is an apocalyptic number.

26789253120 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 26789253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55098563520).

26789253120 is an abundant number, since it is smaller than the sum of its proper divisors (83407873920).

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

26789253120 is an frugal number, since it uses more digits than its factorization.

26789253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 26789253120 in words is "twenty-six billion, seven hundred eighty-nine million, two hundred fifty-three thousand, one hundred twenty".