10993737888 has 288 divisors, whose sum is σ = 38232964224. Its totient is φ = 2924937216.

The previous prime is 10993737883. The next prime is 10993737907. The reversal of 10993737888 is 88873739901.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10993737883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3322731 + ... + 3326037.

It is an arithmetic number, because the mean of its divisors is an integer number (132753348).

Almost surely, 2^10993737888 is an apocalyptic number.

10993737888 is a gapful number since it is divisible by the number (18) 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 10993737888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19116482112).

10993737888 is an abundant number, since it is smaller than the sum of its proper divisors (27239226336).

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

10993737888 is a wasteful number, since it uses less digits than its factorization.

10993737888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 10993737888 in words is "ten billion, nine hundred ninety-three million, seven hundred thirty-seven thousand, eight hundred eighty-eight".