27112402944 has 1040 divisors, whose sum is σ = 102758388480. Its totient is φ = 7007109120.

The previous prime is 27112402937. The next prime is 27112402987. The reversal of 27112402944 is 44920421172.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 27112402899 and 27112402908.

It is a congruent number.

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, 1178800117 + ... + 1178800139.

Almost surely, 2^27112402944 is an apocalyptic number.

27112402944 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 27112402944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51379194240).

27112402944 is an abundant number, since it is smaller than the sum of its proper divisors (75645985536).

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

27112402944 is a wasteful number, since it uses less digits than its factorization.

27112402944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 27112402944 in words is "twenty-seven billion, one hundred twelve million, four hundred two thousand, nine hundred forty-four".