10793951611040 has 288 divisors, whose sum is σ = 28394845118640. Its totient is φ = 3872911491072.

The previous prime is 10793951611039. The next prime is 10793951611073. The reversal of 10793951611040 is 4011615939701.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 540148562704 + 10253803048336 = 734948^2 + 3202156^2 .

It is a super-2 number, since 2×10793951611040² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 857405066 + ... + 857417654.

Almost surely, 2^{10793951611040} is an apocalyptic number.

10793951611040 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 10793951611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14197422559320).

10793951611040 is an abundant number, since it is smaller than the sum of its proper divisors (17600893507600).

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

10793951611040 is a wasteful number, since it uses less digits than its factorization.

10793951611040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13524 (or 13503 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 47.

The spelling of 10793951611040 in words is "ten trillion, seven hundred ninety-three billion, nine hundred fifty-one million, six hundred eleven thousand, forty".