10933591680 has 512 divisors, whose sum is σ = 42750892800. Its totient is φ = 2618818560.

The previous prime is 10933591651. The next prime is 10933591681. The reversal of 10933591680 is 8619533901.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10933591681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18437464 + ... + 18438056.

Almost surely, 2^10933591680 is an apocalyptic number.

10933591680 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 10933591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21375446400).

10933591680 is an abundant number, since it is smaller than the sum of its proper divisors (31817301120).

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

10933591680 is a wasteful number, since it uses less digits than its factorization.

10933591680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 10933591680 in words is "ten billion, nine hundred thirty-three million, five hundred ninety-one thousand, six hundred eighty".