10727637012 has 144 divisors (see below), whose sum is σ = 28221403392. Its totient is φ = 3433881600.

The previous prime is 10727636999. The next prime is 10727637013. The reversal of 10727637012 is 21073672701.

10727637012 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 7 + 637 + 0 + 12 = 666.

It is a super-2 number, since 2×10727637012² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10727637013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26752012 + ... + 26752412.

It is an arithmetic number, because the mean of its divisors is an integer number (195981968).

Almost surely, 2^10727637012 is an apocalyptic number.

10727637012 is a gapful number since it is divisible by the number (12) 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 10727637012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14110701696).

10727637012 is an abundant number, since it is smaller than the sum of its proper divisors (17493766380).

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

10727637012 is a wasteful number, since it uses less digits than its factorization.

10727637012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 10727637012 in words is "ten billion, seven hundred twenty-seven million, six hundred thirty-seven thousand, twelve".