10794340953120 has 192 divisors, whose sum is σ = 34469944274304. Its totient is φ = 2839008460800.

The previous prime is 10794340953113. The next prime is 10794340953127. The reversal of 10794340953120 is 2135904349701.

It is an interprime number because it is at equal distance from previous prime (10794340953113) and next prime (10794340953127).

It is a super-2 number, since 2×10794340953120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10794340953120.

It is not an unprimeable number, because it can be changed into a prime (10794340953127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23396670 + ... + 23853570.

It is an arithmetic number, because the mean of its divisors is an integer number (179530959762).

Almost surely, 2^{10794340953120} is an apocalyptic number.

10794340953120 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 10794340953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17234972137152).

10794340953120 is an abundant number, since it is smaller than the sum of its proper divisors (23675603321184).

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

10794340953120 is a wasteful number, since it uses less digits than its factorization.

10794340953120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457595 (or 457587 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 10794340953120 in words is "ten trillion, seven hundred ninety-four billion, three hundred forty million, nine hundred fifty-three thousand, one hundred twenty".