27972808704 has 104 divisors (see below), whose sum is σ = 82872606320. Its totient is φ = 9324232704.

The previous prime is 27972808697. The next prime is 27972808751. The reversal of 27972808704 is 40780827972.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15877 + ... + 237060.

Almost surely, 2^27972808704 is an apocalyptic number.

27972808704 is a gapful number since it is divisible by the number (24) 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 27972808704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41436303160).

27972808704 is an abundant number, since it is smaller than the sum of its proper divisors (54899797616).

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

27972808704 is an equidigital number, since it uses as much as digits as its factorization.

27972808704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252970 (or 252942 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 27972808704 in words is "twenty-seven billion, nine hundred seventy-two million, eight hundred eight thousand, seven hundred four".