10193285460000 has 480 divisors, whose sum is σ = 34689295872000. Its totient is φ = 2617211520000.

The previous prime is 10193285459963. The next prime is 10193285460011. The reversal of 10193285460000 is 6458239101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 370126231 + ... + 370153769.

It is an arithmetic number, because the mean of its divisors is an integer number (72269366400).

Almost surely, 2^{10193285460000} is an apocalyptic number.

10193285460000 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 10193285460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17344647936000).

10193285460000 is an abundant number, since it is smaller than the sum of its proper divisors (24496010412000).

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

10193285460000 is a wasteful number, since it uses less digits than its factorization.

10193285460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27802 (or 27779 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 10193285460000 in words is "ten trillion, one hundred ninety-three billion, two hundred eighty-five million, four hundred sixty thousand".