26112193920 has 384 divisors, whose sum is σ = 93829881600. Its totient is φ = 6683443200.

The previous prime is 26112193897. The next prime is 26112193931. The reversal of 26112193920 is 2939121162.

26112193920 is a `hidden beast` number, since 2 + 611 + 2 + 1 + 9 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 37249570 + ... + 37250270.

It is an arithmetic number, because the mean of its divisors is an integer number (244348650).

Almost surely, 2^26112193920 is an apocalyptic number.

26112193920 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 26112193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46914940800).

26112193920 is an abundant number, since it is smaller than the sum of its proper divisors (67717687680).

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

26112193920 is a wasteful number, since it uses less digits than its factorization.

26112193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 26112193920 in words is "twenty-six billion, one hundred twelve million, one hundred ninety-three thousand, nine hundred twenty".