10341730535760 has 640 divisors, whose sum is σ = 39540139269120. Its totient is φ = 2468629094400.

The previous prime is 10341730535693. The next prime is 10341730535813. The reversal of 10341730535760 is 6753503714301.

10341730535760 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 1 + 73 + 0 + 5 + 3 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121571962 + ... + 121656998.

It is an arithmetic number, because the mean of its divisors is an integer number (61781467608).

Almost surely, 2^{10341730535760} is an apocalyptic number.

10341730535760 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 10341730535760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19770069634560).

10341730535760 is an abundant number, since it is smaller than the sum of its proper divisors (29198408733360).

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

10341730535760 is a wasteful number, since it uses less digits than its factorization.

10341730535760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85204 (or 85192 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 10341730535760 in words is "ten trillion, three hundred forty-one billion, seven hundred thirty million, five hundred thirty-five thousand, seven hundred sixty".