10468010784000 has 2304 divisors, whose sum is σ = 46300889456640. Its totient is φ = 2030469120000.

The previous prime is 10468010783999. The next prime is 10468010784031. The reversal of 10468010784000 is 48701086401.

It is a self number, because there is not a number n which added to its sum of digits gives 10468010784000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10252703490 + ... + 10252704510.

It is an arithmetic number, because the mean of its divisors is an integer number (20095872160).

Almost surely, 2^{10468010784000} is an apocalyptic number.

10468010784000 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 10468010784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23150444728320).

10468010784000 is an abundant number, since it is smaller than the sum of its proper divisors (35832878672640).

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

10468010784000 is a wasteful number, since it uses less digits than its factorization.

10468010784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 10468010784000 in words is "ten trillion, four hundred sixty-eight billion, ten million, seven hundred eighty-four thousand".