10011293716320 has 1920 divisors, whose sum is σ = 41378807086848. Its totient is φ = 2259792691200.

The previous prime is 10011293716283. The next prime is 10011293716337. The reversal of 10011293716320 is 2361739211001.

10011293716320 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 12 + 9 + 3 + 7 + 1 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9691474524 + ... + 9691475556.

Almost surely, 2^{10011293716320} is an apocalyptic number.

10011293716320 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 10011293716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20689403543424).

10011293716320 is an abundant number, since it is smaller than the sum of its proper divisors (31367513370528).

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

10011293716320 is a wasteful number, since it uses less digits than its factorization.

10011293716320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10011293716320 in words is "ten trillion, eleven billion, two hundred ninety-three million, seven hundred sixteen thousand, three hundred twenty".