26972040100 has 36 divisors (see below), whose sum is σ = 58714031124. Its totient is φ = 10754769280.

The previous prime is 26972040097. The next prime is 26972040127. The reversal of 26972040100 is 104027962.

It can be written as a sum of positive squares in 6 ways, for example, as 1441113444 + 25530926656 = 37962^2 + 159784^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393727 + ... + 457126.

It is an arithmetic number, because the mean of its divisors is an integer number (1630945309).

Almost surely, 2^26972040100 is an apocalyptic number.

26972040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26972040100 is an abundant number, since it is smaller than the sum of its proper divisors (31741991024).

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

26972040100 is a wasteful number, since it uses less digits than its factorization.

26972040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851184 (or 851177 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 26972040100 in words is "twenty-six billion, nine hundred seventy-two million, forty thousand, one hundred".