10734238056960 has 640 divisors, whose sum is σ = 42719478278400. Its totient is φ = 2531902095360.

The previous prime is 10734238056953. The next prime is 10734238056973. The reversal of 10734238056960 is 6965083243701.

10734238056960 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 42 + 38 + 0 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 10734238056897 and 10734238056906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27941056 + ... + 28322624.

It is an arithmetic number, because the mean of its divisors is an integer number (66749184810).

It is a 1-persistent number, because it is pandigital, but 2⋅10734238056960 = 21468476113920 is not.

Almost surely, 2^{10734238056960} is an apocalyptic number.

10734238056960 is a gapful number since it is divisible by the number (10) 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 10734238056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21359739139200).

10734238056960 is an abundant number, since it is smaller than the sum of its proper divisors (31985240221440).

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

10734238056960 is a wasteful number, since it uses less digits than its factorization.

10734238056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381649 (or 381627 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 10734238056960 in words is "ten trillion, seven hundred thirty-four billion, two hundred thirty-eight million, fifty-six thousand, nine hundred sixty".