10496284434720 has 1536 divisors, whose sum is σ = 46886070067200. Its totient is φ = 2135002447872.

The previous prime is 10496284434709. The next prime is 10496284434781. The reversal of 10496284434720 is 2743448269401.

10496284434720 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 62 + 84 + 434 + 72 + 0 = 666.

It is a super-2 number, since 2×10496284434720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8624719552 + ... + 8624720768.

It is an arithmetic number, because the mean of its divisors is an integer number (30524785200).

Almost surely, 2^{10496284434720} is an apocalyptic number.

10496284434720 is a gapful number since it is divisible by the number (10) 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 10496284434720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23443035033600).

10496284434720 is an abundant number, since it is smaller than the sum of its proper divisors (36389785632480).

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

10496284434720 is a wasteful number, since it uses less digits than its factorization.

10496284434720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 10496284434720 in words is "ten trillion, four hundred ninety-six billion, two hundred eighty-four million, four hundred thirty-four thousand, seven hundred twenty".