10950792109920 has 960 divisors, whose sum is σ = 44292020572800. Its totient is φ = 2524135882752.

The previous prime is 10950792109849. The next prime is 10950792109921. The reversal of 10950792109920 is 2990129705901.

10950792109920 is a `hidden beast` number, since 1 + 0 + 9 + 507 + 9 + 2 + 109 + 9 + 20 = 666.

It is a super-2 number, since 2×10950792109920² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10950792109921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 569958234 + ... + 569977446.

It is an arithmetic number, because the mean of its divisors is an integer number (46137521430).

Almost surely, 2^{10950792109920} is an apocalyptic number.

10950792109920 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 10950792109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22146010286400).

10950792109920 is an abundant number, since it is smaller than the sum of its proper divisors (33341228462880).

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

10950792109920 is a wasteful number, since it uses less digits than its factorization.

10950792109920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19469 (or 19452 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 54.

The spelling of 10950792109920 in words is "ten trillion, nine hundred fifty billion, seven hundred ninety-two million, one hundred nine thousand, nine hundred twenty".