26745169920 has 384 divisors, whose sum is σ = 98358624000. Its totient is φ = 6077546496.

The previous prime is 26745169909. The next prime is 26745169951. The reversal of 26745169920 is 2996154762.

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

It is a super-2 number, since 2×26745169920² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59565856 + ... + 59566304.

It is an arithmetic number, because the mean of its divisors is an integer number (256142250).

Almost surely, 2^26745169920 is an apocalyptic number.

26745169920 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 26745169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49179312000).

26745169920 is an abundant number, since it is smaller than the sum of its proper divisors (71613454080).

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

26745169920 is a wasteful number, since it uses less digits than its factorization.

26745169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 26745169920 in words is "twenty-six billion, seven hundred forty-five million, one hundred sixty-nine thousand, nine hundred twenty".