10766790584480 has 384 divisors, whose sum is σ = 31413515406336. Its totient is φ = 3407531212800.

The previous prime is 10766790584471. The next prime is 10766790584491. The reversal of 10766790584480 is 8448509766701.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83217440 + ... + 83346720.

It is an arithmetic number, because the mean of its divisors is an integer number (81806029704).

Almost surely, 2^{10766790584480} is an apocalyptic number.

10766790584480 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 10766790584480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15706757703168).

10766790584480 is an abundant number, since it is smaller than the sum of its proper divisors (20646724821856).

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

10766790584480 is a wasteful number, since it uses less digits than its factorization.

10766790584480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129440 (or 129432 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 65.

The spelling of 10766790584480 in words is "ten trillion, seven hundred sixty-six billion, seven hundred ninety million, five hundred eighty-four thousand, four hundred eighty".