10710919638144 has 384 divisors, whose sum is σ = 34212935390400. Its totient is φ = 3188922777600.

The previous prime is 10710919638143. The next prime is 10710919638149. The reversal of 10710919638144 is 44183691901701.

It is a happy number.

10710919638144 is a `hidden beast` number, since 1 + 0 + 71 + 0 + 9 + 196 + 381 + 4 + 4 = 666.

10710919638144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10710919638144² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10710919638143) 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, 1968554464 + ... + 1968559904.

Almost surely, 2^{10710919638144} 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 10710919638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17106467695200).

10710919638144 is an abundant number, since it is smaller than the sum of its proper divisors (23502015752256).

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

10710919638144 is a wasteful number, since it uses less digits than its factorization.

10710919638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8164 (or 8149 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 10710919638144 in words is "ten trillion, seven hundred ten billion, nine hundred nineteen million, six hundred thirty-eight thousand, one hundred forty-four".