10194501144960 has 3072 divisors, whose sum is σ = 44321333760000. Its totient is φ = 2192190013440.

The previous prime is 10194501144907. The next prime is 10194501144983. The reversal of 10194501144960 is 6944110549101.

10194501144960 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 45 + 0 + 114 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 93527533386 + ... + 93527533494.

It is an arithmetic number, because the mean of its divisors is an integer number (14427517500).

Almost surely, 2^{10194501144960} is an apocalyptic number.

10194501144960 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 10194501144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22160666880000).

10194501144960 is an abundant number, since it is smaller than the sum of its proper divisors (34126832615040).

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

10194501144960 is a wasteful number, since it uses less digits than its factorization.

10194501144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10194501144960 in words is "ten trillion, one hundred ninety-four billion, five hundred one million, one hundred forty-four thousand, nine hundred sixty".