10017423360 has 480 divisors, whose sum is σ = 40767390720. Its totient is φ = 2286157824.

The previous prime is 10017423347. The next prime is 10017423407. The reversal of 10017423360 is 6332471001.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 15482557 + ... + 15483203.

It is an arithmetic number, because the mean of its divisors is an integer number (84932064).

Almost surely, 2^10017423360 is an apocalyptic number.

10017423360 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 10017423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20383695360).

10017423360 is an abundant number, since it is smaller than the sum of its proper divisors (30749967360).

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

10017423360 is an frugal number, since it uses more digits than its factorization.

10017423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 10017423360 its reverse (6332471001), we get a palindrome (16349894361).

The spelling of 10017423360 in words is "ten billion, seventeen million, four hundred twenty-three thousand, three hundred sixty".