26948806920 has 768 divisors, whose sum is σ = 108673044480. Its totient is φ = 5878656000.

The previous prime is 26948806891. The next prime is 26948806961. The reversal of 26948806920 is 2960884962.

It is a happy number.

It is a super-2 number, since 2×26948806920² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 191 ways as a sum of consecutive naturals, for example, 178468845 + ... + 178468995.

It is an arithmetic number, because the mean of its divisors is an integer number (141501360).

Almost surely, 2^26948806920 is an apocalyptic number.

26948806920 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 26948806920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54336522240).

26948806920 is an abundant number, since it is smaller than the sum of its proper divisors (81724237560).

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

26948806920 is a wasteful number, since it uses less digits than its factorization.

26948806920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 26948806920 in words is "twenty-six billion, nine hundred forty-eight million, eight hundred six thousand, nine hundred twenty".