27272900400 has 120 divisors (see below), whose sum is σ = 87951104400. Its totient is φ = 7223915520.

The previous prime is 27272900393. The next prime is 27272900441. The reversal of 27272900400 is 400927272.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×27272900400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102534 + ... + 255066.

It is an arithmetic number, because the mean of its divisors is an integer number (732925870).

Almost surely, 2^27272900400 is an apocalyptic number.

27272900400 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 27272900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43975552200).

27272900400 is an abundant number, since it is smaller than the sum of its proper divisors (60678204000).

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

27272900400 is a wasteful number, since it uses less digits than its factorization.

27272900400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152703 (or 152692 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 27272900400 in words is "twenty-seven billion, two hundred seventy-two million, nine hundred thousand, four hundred".