10284122061792 has 384 divisors, whose sum is σ = 32520376627200. Its totient is φ = 3149227081728.

The previous prime is 10284122061757. The next prime is 10284122061803. The reversal of 10284122061792 is 29716022148201.

10284122061792 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 4 + 1 + 2 + 20 + 617 + 9 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1110951628 + ... + 1110960884.

It is an arithmetic number, because the mean of its divisors is an integer number (84688480800).

Almost surely, 2^{10284122061792} is an apocalyptic number.

10284122061792 is a gapful number since it is divisible by the number (12) 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 10284122061792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16260188313600).

10284122061792 is an abundant number, since it is smaller than the sum of its proper divisors (22236254565408).

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

10284122061792 is a wasteful number, since it uses less digits than its factorization.

10284122061792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11095 (or 11081 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10284122061792 in words is "ten trillion, two hundred eighty-four billion, one hundred twenty-two million, sixty-one thousand, seven hundred ninety-two".