2007107156712 has 256 divisors, whose sum is σ = 6028738560000. Its totient is φ = 544754522880.

The previous prime is 2007107156711. The next prime is 2007107156753. The reversal of 2007107156712 is 2176517017002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2007107156711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227069589 + ... + 227078427.

It is an arithmetic number, because the mean of its divisors is an integer number (23549760000).

Almost surely, 2^{2007107156712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007107156712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014369280000).

2007107156712 is an abundant number, since it is smaller than the sum of its proper divisors (4021631403288).

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

2007107156712 is a wasteful number, since it uses less digits than its factorization.

2007107156712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9684 (or 9680 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 39.

The spelling of 2007107156712 in words is "two trillion, seven billion, one hundred seven million, one hundred fifty-six thousand, seven hundred twelve".