10993918320 has 1280 divisors, whose sum is σ = 51425280000. Its totient is φ = 2133734400.

The previous prime is 10993918303. The next prime is 10993918483. The reversal of 10993918320 is 2381939901.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 154843885 + ... + 154843955.

It is an arithmetic number, because the mean of its divisors is an integer number (40176000).

Almost surely, 2^10993918320 is an apocalyptic number.

10993918320 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 10993918320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25712640000).

10993918320 is an abundant number, since it is smaller than the sum of its proper divisors (40431361680).

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

10993918320 is a wasteful number, since it uses less digits than its factorization.

10993918320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 10993918320 in words is "ten billion, nine hundred ninety-three million, nine hundred eighteen thousand, three hundred twenty".