10080773685450 has 768 divisors, whose sum is σ = 31194958394880. Its totient is φ = 2377589760000.

The previous prime is 10080773685383. The next prime is 10080773685467. The reversal of 10080773685450 is 5458637708001.

It is a happy number.

10080773685450 is a `hidden beast` number, since 1 + 0 + 0 + 80 + 7 + 7 + 36 + 85 + 450 = 666.

It is a super-2 number, since 2×10080773685450² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18429202077 + ... + 18429202623.

It is an arithmetic number, because the mean of its divisors is an integer number (40618435410).

Almost surely, 2^{10080773685450} is an apocalyptic number.

10080773685450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10080773685450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15597479197440).

10080773685450 is an abundant number, since it is smaller than the sum of its proper divisors (21114184709430).

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

10080773685450 is a wasteful number, since it uses less digits than its factorization.

10080773685450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 10080773685450 in words is "ten trillion, eighty billion, seven hundred seventy-three million, six hundred eighty-five thousand, four hundred fifty".