10719974377728 has 1296 divisors, whose sum is σ = 41570233356288. Its totient is φ = 2694178713600.

The previous prime is 10719974377703. The next prime is 10719974377733. The reversal of 10719974377728 is 82777347991701.

10719974377728 is a `hidden beast` number, since 1 + 0 + 7 + 19 + 97 + 437 + 77 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×10719974377728² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1633392175 + ... + 1633398737.

Almost surely, 2^{10719974377728} is an apocalyptic number.

10719974377728 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 10719974377728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20785116678144).

10719974377728 is an abundant number, since it is smaller than the sum of its proper divisors (30850258978560).

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

10719974377728 is an equidigital number, since it uses as much as digits as its factorization.

10719974377728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6654 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 261382464, while the sum is 72.

The spelling of 10719974377728 in words is "ten trillion, seven hundred nineteen billion, nine hundred seventy-four million, three hundred seventy-seven thousand, seven hundred twenty-eight".