10719613052928 has 480 divisors, whose sum is σ = 35981023478400. Its totient is φ = 3154921684992.

The previous prime is 10719613052923. The next prime is 10719613052947. The reversal of 10719613052928 is 82925031691701.

It is a happy number.

10719613052928 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 9 + 61 + 30 + 529 + 28 = 666.

10719613052928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10719613052928³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10719613052923) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49492453 + ... + 49708571.

It is an arithmetic number, because the mean of its divisors is an integer number (74960465580).

Almost surely, 2^{10719613052928} is an apocalyptic number.

10719613052928 is a gapful number since it is divisible by the number (18) 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 10719613052928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17990511739200).

10719613052928 is an abundant number, since it is smaller than the sum of its proper divisors (25261410425472).

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

10719613052928 is a wasteful number, since it uses less digits than its factorization.

10719613052928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216189 (or 216160 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 10719613052928 in words is "ten trillion, seven hundred nineteen billion, six hundred thirteen million, fifty-two thousand, nine hundred twenty-eight".