26766449100 has 108 divisors (see below), whose sum is σ = 84324384144. Its totient is φ = 7101440640.

The previous prime is 26766449093. The next prime is 26766449131. The reversal of 26766449100 is 194466762.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101817 + ... + 252783.

Almost surely, 2^26766449100 is an apocalyptic number.

26766449100 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 26766449100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42162192072).

26766449100 is an abundant number, since it is smaller than the sum of its proper divisors (57557935044).

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

26766449100 is a wasteful number, since it uses less digits than its factorization.

26766449100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151184 (or 151174 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 26766449100 in words is "twenty-six billion, seven hundred sixty-six million, four hundred forty-nine thousand, one hundred".