27972864000 has 960 divisors, whose sum is σ = 111307996800. Its totient is φ = 6967296000.

The previous prime is 27972863999. The next prime is 27972864037. The reversal of 27972864000 is 46827972.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×27972864000² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 393983965 + ... + 393984035.

It is an arithmetic number, because the mean of its divisors is an integer number (115945830).

Almost surely, 2^27972864000 is an apocalyptic number.

27972864000 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 27972864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55653998400).

27972864000 is an abundant number, since it is smaller than the sum of its proper divisors (83335132800).

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

27972864000 is an equidigital number, since it uses as much as digits as its factorization.

27972864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 27972864000 in words is "twenty-seven billion, nine hundred seventy-two million, eight hundred sixty-four thousand".