27079142400 has 462 divisors, whose sum is σ = 100708543452. Its totient is φ = 7216128000.

The previous prime is 27079142369. The next prime is 27079142407. The reversal of 27079142400 is 424197072.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27079142407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18661675 + ... + 18663125.

Almost surely, 2^27079142400 is an apocalyptic number.

27079142400 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 27079142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50354271726).

27079142400 is an abundant number, since it is smaller than the sum of its proper divisors (73629401052).

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

27079142400 is an equidigital number, since it uses as much as digits as its factorization.

27079142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 27079142400 in words is "twenty-seven billion, seventy-nine million, one hundred forty-two thousand, four hundred".