10684293120 has 224 divisors, whose sum is σ = 37990211040. Its totient is φ = 2848849920.

The previous prime is 10684293083. The next prime is 10684293157. The reversal of 10684293120 is 2139248601.

10684293120 is a `hidden beast` number, since 106 + 8 + 429 + 3 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (10684293083) and next prime (10684293157).

It is a super-2 number, since 2×10684293120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1101090 + ... + 1110750.

Almost surely, 2^10684293120 is an apocalyptic number.

10684293120 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 10684293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18995105520).

10684293120 is an abundant number, since it is smaller than the sum of its proper divisors (27305917920).

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

10684293120 is an frugal number, since it uses more digits than its factorization.

10684293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9701 (or 9671 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10684293120 in words is "ten billion, six hundred eighty-four million, two hundred ninety-three thousand, one hundred twenty".