10993382400 has 1188 divisors, whose sum is σ = 49423357536. Its totient is φ = 2108620800.

The previous prime is 10993382327. The next prime is 10993382419. The reversal of 10993382400 is 428339901.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 845644794 + ... + 845644806.

Almost surely, 2^10993382400 is an apocalyptic number.

10993382400 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 10993382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24711678768).

10993382400 is an abundant number, since it is smaller than the sum of its proper divisors (38429975136).

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

10993382400 is a wasteful number, since it uses less digits than its factorization.

10993382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

It can be divided in two parts, 10993 and 382400, that added together give a palindrome (393393).

The spelling of 10993382400 in words is "ten billion, nine hundred ninety-three million, three hundred eighty-two thousand, four hundred".