10981916400 has 960 divisors, whose sum is σ = 46841446400. Its totient is φ = 2134978560.

The previous prime is 10981916389. The next prime is 10981916453. The reversal of 10981916400 is 461918901.

It is a super-3 number, since 3×10981916400³ (a number of 31 digits) contains 333 as substring.

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 191 ways as a sum of consecutive naturals, for example, 139011561 + ... + 139011639.

Almost surely, 2^10981916400 is an apocalyptic number.

10981916400 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 10981916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23420723200).

10981916400 is an abundant number, since it is smaller than the sum of its proper divisors (35859530000).

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

10981916400 is a wasteful number, since it uses less digits than its factorization.

10981916400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The spelling of 10981916400 in words is "ten billion, nine hundred eighty-one million, nine hundred sixteen thousand, four hundred".