10834956372840 has 32 divisors (see below), whose sum is σ = 32504869118880. Its totient is φ = 2889321699392.

The previous prime is 10834956372803. The next prime is 10834956373057. The reversal of 10834956372840 is 4827365943801.

It is a super-2 number, since 2×10834956372840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45145651434 + ... + 45145651673.

It is an arithmetic number, because the mean of its divisors is an integer number (1015777159965).

It is a 1-persistent number, because it is pandigital, but 2⋅10834956372840 = 21669912745680 is not.

Almost surely, 2^{10834956372840} is an apocalyptic number.

10834956372840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10834956372840 is an abundant number, since it is smaller than the sum of its proper divisors (21669912746040).

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

10834956372840 is a wasteful number, since it uses less digits than its factorization.

10834956372840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90291303121 (or 90291303117 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 10834956372840 in words is "ten trillion, eight hundred thirty-four billion, nine hundred fifty-six million, three hundred seventy-two thousand, eight hundred forty".