10496814720 has 256 divisors, whose sum is σ = 38344492800. Its totient is φ = 2392621056.

The previous prime is 10496814719. The next prime is 10496814733. The reversal of 10496814720 is 2741869401.

It is a super-2 number, since 2×10496814720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6141226 + ... + 6142934.

It is an arithmetic number, because the mean of its divisors is an integer number (149783175).

Almost surely, 2^10496814720 is an apocalyptic number.

10496814720 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 10496814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19172246400).

10496814720 is an abundant number, since it is smaller than the sum of its proper divisors (27847678080).

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

10496814720 is a wasteful number, since it uses less digits than its factorization.

10496814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 10496814720 in words is "ten billion, four hundred ninety-six million, eight hundred fourteen thousand, seven hundred twenty".