27826076010100 has 72 divisors (see below), whose sum is σ = 60657738781248. Its totient is φ = 11079768268800.

The previous prime is 27826076010017. The next prime is 27826076010143. The reversal of 27826076010100 is 101067062872.

It is a super-2 number, since 2×27826076010100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38474419 + ... + 39190981.

It is an arithmetic number, because the mean of its divisors is an integer number (842468594184).

Almost surely, 2^{27826076010100} is an apocalyptic number.

27826076010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27826076010100 is an abundant number, since it is smaller than the sum of its proper divisors (32831662771148).

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

27826076010100 is a wasteful number, since it uses less digits than its factorization.

27826076010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718345 (or 718338 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 27826076010100 in words is "twenty-seven trillion, eight hundred twenty-six billion, seventy-six million, ten thousand, one hundred".