26107081920 has 224 divisors, whose sum is σ = 94243184640. Its totient is φ = 6799887360.

The previous prime is 26107081901. The next prime is 26107081939. The reversal of 26107081920 is 2918070162.

26107081920 is a `hidden beast` number, since 2 + 610 + 7 + 0 + 8 + 19 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (26107081901) and next prime (26107081939).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336385 + ... + 406655.

Almost surely, 2^26107081920 is an apocalyptic number.

26107081920 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 26107081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47121592320).

26107081920 is an abundant number, since it is smaller than the sum of its proper divisors (68136102720).

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

26107081920 is a wasteful number, since it uses less digits than its factorization.

26107081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70340 (or 70324 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 26107081920 in words is "twenty-six billion, one hundred seven million, eighty-one thousand, nine hundred twenty".