10617050480 has 80 divisors (see below), whose sum is σ = 25297618944. Its totient is φ = 4142603520.

The previous prime is 10617050467. The next prime is 10617050501. The reversal of 10617050480 is 8405071601.

It is a happy number.

10617050480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10617050480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542465 + ... + 561695.

Almost surely, 2^10617050480 is an apocalyptic number.

10617050480 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 10617050480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12648809472).

10617050480 is an abundant number, since it is smaller than the sum of its proper divisors (14680568464).

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

10617050480 is a wasteful number, since it uses less digits than its factorization.

10617050480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19414 (or 19408 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 10617050480 in words is "ten billion, six hundred seventeen million, fifty thousand, four hundred eighty".