26672805900 has 360 divisors, whose sum is σ = 93487523360. Its totient is φ = 6539304960.

The previous prime is 26672805871. The next prime is 26672805977. The reversal of 26672805900 is 950827662.

It is a super-2 number, since 2×26672805900² (a number of 22 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 46226412 + ... + 46226988.

Almost surely, 2^26672805900 is an apocalyptic number.

26672805900 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 26672805900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46743761680).

26672805900 is an abundant number, since it is smaller than the sum of its proper divisors (66814717460).

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

26672805900 is a wasteful number, since it uses less digits than its factorization.

26672805900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 26672805900 in words is "twenty-six billion, six hundred seventy-two million, eight hundred five thousand, nine hundred".