10739127226464 has 768 divisors, whose sum is σ = 39474533468160. Its totient is φ = 2765180436480.

The previous prime is 10739127226423. The next prime is 10739127226469. The reversal of 10739127226464 is 46462272193701.

10739127226464 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 91 + 2 + 72 + 26 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10739127226464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10739127226469) 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, 595253284 + ... + 595271324.

It is an arithmetic number, because the mean of its divisors is an integer number (51399132120).

Almost surely, 2^{10739127226464} is an apocalyptic number.

10739127226464 is a gapful number since it is divisible by the number (14) 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 10739127226464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19737266734080).

10739127226464 is an abundant number, since it is smaller than the sum of its proper divisors (28735406241696).

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

10739127226464 is a wasteful number, since it uses less digits than its factorization.

10739127226464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18260 (or 18246 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 10739127226464 in words is "ten trillion, seven hundred thirty-nine billion, one hundred twenty-seven million, two hundred twenty-six thousand, four hundred sixty-four".