26680993920 has 384 divisors, whose sum is σ = 109926460800. Its totient is φ = 6098319360.

The previous prime is 26680993873. The next prime is 26680993931. The reversal of 26680993920 is 2939908662.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 830965 + ... + 862475.

It is an arithmetic number, because the mean of its divisors is an integer number (286266825).

Almost surely, 2^26680993920 is an apocalyptic number.

26680993920 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 26680993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54963230400).

26680993920 is an abundant number, since it is smaller than the sum of its proper divisors (83245466880).

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

26680993920 is a wasteful number, since it uses less digits than its factorization.

26680993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31553 (or 31528 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 26680993920 in words is "twenty-six billion, six hundred eighty million, nine hundred ninety-three thousand, nine hundred twenty".