10834714080 has 72 divisors (see below), whose sum is σ = 36973466712. Its totient is φ = 2889256704.

The previous prime is 10834714069. The next prime is 10834714087. The reversal of 10834714080 is 8041743801.

10834714080 is a `hidden beast` number, since 108 + 3 + 471 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10834714087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3760614 + ... + 3763493.

It is an arithmetic number, because the mean of its divisors is an integer number (513520371).

Almost surely, 2^10834714080 is an apocalyptic number.

10834714080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10834714080 is an abundant number, since it is smaller than the sum of its proper divisors (26138752632).

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

10834714080 is a wasteful number, since it uses less digits than its factorization.

10834714080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7524128 (or 7524117 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10834714080 in words is "ten billion, eight hundred thirty-four million, seven hundred fourteen thousand, eighty".