10450693044960 has 192 divisors, whose sum is σ = 37677587415552. Its totient is φ = 2385231906816.

The previous prime is 10450693044947. The next prime is 10450693044989. The reversal of 10450693044960 is 6944039605401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17922 + ... + 4571838.

It is an arithmetic number, because the mean of its divisors is an integer number (196237434456).

Almost surely, 2^{10450693044960} is an apocalyptic number.

10450693044960 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 10450693044960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18838793707776).

10450693044960 is an abundant number, since it is smaller than the sum of its proper divisors (27226894370592).

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

10450693044960 is a wasteful number, since it uses less digits than its factorization.

10450693044960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554625 (or 4554617 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 10450693044960 in words is "ten trillion, four hundred fifty billion, six hundred ninety-three million, forty-four thousand, nine hundred sixty".