10829785349472 has 24 divisors (see below), whose sum is σ = 28428186542616. Its totient is φ = 3609928449792.

The previous prime is 10829785349429. The next prime is 10829785349489. The reversal of 10829785349472 is 27494358792801.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 10829785349397 and 10829785349406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56405131933 + ... + 56405132124.

It is an arithmetic number, because the mean of its divisors is an integer number (1184507772609).

Almost surely, 2^{10829785349472} is an apocalyptic number.

10829785349472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10829785349472 is an abundant number, since it is smaller than the sum of its proper divisors (17598401193144).

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

10829785349472 is a wasteful number, since it uses less digits than its factorization.

10829785349472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112810264070 (or 112810264062 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 69.

The spelling of 10829785349472 in words is "ten trillion, eight hundred twenty-nine billion, seven hundred eighty-five million, three hundred forty-nine thousand, four hundred seventy-two".