10193487360 has 320 divisors, whose sum is σ = 37561024512. Its totient is φ = 2310045696.

The previous prime is 10193487313. The next prime is 10193487413. The reversal of 10193487360 is 6378439101.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6826774 + ... + 6828266.

Almost surely, 2^10193487360 is an apocalyptic number.

10193487360 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 10193487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18780512256).

10193487360 is an abundant number, since it is smaller than the sum of its proper divisors (27367537152).

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

10193487360 is a wasteful number, since it uses less digits than its factorization.

10193487360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 10193487360 in words is "ten billion, one hundred ninety-three million, four hundred eighty-seven thousand, three hundred sixty".