10500399360 has 864 divisors, whose sum is σ = 42800378880. Its totient is φ = 2463436800.

The previous prime is 10500399269. The next prime is 10500399397. The reversal of 10500399360 is 6399300501.

10500399360 is a `hidden beast` number, since 1 + 0 + 500 + 3 + 9 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×10500399360² (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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338722545 + ... + 338722575.

Almost surely, 2^10500399360 is an apocalyptic number.

10500399360 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 10500399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21400189440).

10500399360 is an abundant number, since it is smaller than the sum of its proper divisors (32299979520).

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

10500399360 is an frugal number, since it uses more digits than its factorization.

10500399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

Adding to 10500399360 its reverse (6399300501), we get a palindrome (16899699861).

The spelling of 10500399360 in words is "ten billion, five hundred million, three hundred ninety-nine thousand, three hundred sixty".