10700947618116 has 384 divisors, whose sum is σ = 32226995404800. Its totient is φ = 2747710715904.

The previous prime is 10700947618111. The next prime is 10700947618121. The reversal of 10700947618116 is 61181674900701.

It is an interprime number because it is at equal distance from previous prime (10700947618111) and next prime (10700947618121).

It is a super-2 number, since 2×10700947618116² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (10700947618111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 986529805 + ... + 986540651.

It is an arithmetic number, because the mean of its divisors is an integer number (83924467200).

Almost surely, 2^{10700947618116} 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 10700947618116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16113497702400).

10700947618116 is an abundant number, since it is smaller than the sum of its proper divisors (21526047786684).

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

10700947618116 is a wasteful number, since it uses less digits than its factorization.

10700947618116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11528 (or 11512 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 51.

The spelling of 10700947618116 in words is "ten trillion, seven hundred billion, nine hundred forty-seven million, six hundred eighteen thousand, one hundred sixteen".