27952496100 has 81 divisors (see below), whose sum is σ = 87631270363. Its totient is φ = 7452661440.

The previous prime is 27952496069. The next prime is 27952496119. The reversal of 27952496100 is 169425972.

The square root of 27952496100 is 167190.

It is a perfect power (a square), and thus also a powerful number.

27952496100 is a `hidden beast` number, since 2 + 7 + 9 + 5 + 24 + 9 + 610 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12112763364 + 15839732736 = 110058^2 + 125856^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5012914 + ... + 5018486.

Almost surely, 2^27952496100 is an apocalyptic number.

27952496100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27952496100 is the 167190-th square number.

It is an amenable number.

27952496100 is an abundant number, since it is smaller than the sum of its proper divisors (59678774263).

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

27952496100 is an equidigital number, since it uses as much as digits as its factorization.

27952496100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11166 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 27952496100 in words is "twenty-seven billion, nine hundred fifty-two million, four hundred ninety-six thousand, one hundred".