27944497152 has 1040 divisors, whose sum is σ = 106564254720. Its totient is φ = 7166361600.

The previous prime is 27944497127. The next prime is 27944497177. The reversal of 27944497152 is 25179444972.

It is an interprime number because it is at equal distance from previous prime (27944497127) and next prime (27944497177).

It is a super-2 number, since 2×27944497152² (a number of 22 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 901435377 + ... + 901435407.

Almost surely, 2^27944497152 is an apocalyptic number.

27944497152 is a gapful number since it is divisible by the number (22) 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 27944497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53282127360).

27944497152 is an abundant number, since it is smaller than the sum of its proper divisors (78619757568).

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

27944497152 is a wasteful number, since it uses less digits than its factorization.

27944497152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 79 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 27944497152 in words is "twenty-seven billion, nine hundred forty-four million, four hundred ninety-seven thousand, one hundred fifty-two".