10685900928384 has 1536 divisors, whose sum is σ = 38413655654400. Its totient is φ = 2809213747200.

The previous prime is 10685900928379. The next prime is 10685900928413. The reversal of 10685900928384 is 48382900958601.

10685900928384 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 590 + 0 + 9 + 2 + 8 + 38 + 4 = 666.

It is a super-2 number, since 2×10685900928384² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31708904664 + ... + 31708905000.

It is an arithmetic number, because the mean of its divisors is an integer number (25008890400).

Almost surely, 2^{10685900928384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10685900928384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206827827200).

10685900928384 is an abundant number, since it is smaller than the sum of its proper divisors (27727754726016).

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

10685900928384 is a wasteful number, since it uses less digits than its factorization.

10685900928384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 10685900928384 in words is "ten trillion, six hundred eighty-five billion, nine hundred million, nine hundred twenty-eight thousand, three hundred eighty-four".