10506793824 has 120 divisors (see below), whose sum is σ = 31654172088. Its totient is φ = 3416808960.

The previous prime is 10506793819. The next prime is 10506793879. The reversal of 10506793824 is 42839760501.

It is a super-2 number, since 2×10506793824² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10506793824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56839 + ... + 155705.

It is a 1-persistent number, because it is pandigital, but 2⋅10506793824 = 21013587648 is not.

Almost surely, 2^10506793824 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 10506793824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15827086044).

10506793824 is an abundant number, since it is smaller than the sum of its proper divisors (21147378264).

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

10506793824 is an equidigital number, since it uses as much as digits as its factorization.

10506793824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98930 (or 98913 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 105067 and 93824, that added together give a palindrome (198891).

The spelling of 10506793824 in words is "ten billion, five hundred six million, seven hundred ninety-three thousand, eight hundred twenty-four".