10696419360 has 720 divisors, whose sum is σ = 43798708800. Its totient is φ = 2449751040.

The previous prime is 10696419347. The next prime is 10696419361. The reversal of 10696419360 is 6391469601.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10696419360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10696419361) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29794861 + ... + 29795219.

It is an arithmetic number, because the mean of its divisors is an integer number (60831540).

Almost surely, 2^10696419360 is an apocalyptic number.

10696419360 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 10696419360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21899354400).

10696419360 is an abundant number, since it is smaller than the sum of its proper divisors (33102289440).

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

10696419360 is a wasteful number, since it uses less digits than its factorization.

10696419360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 10696419360 in words is "ten billion, six hundred ninety-six million, four hundred nineteen thousand, three hundred sixty".