10981850400 has 432 divisors, whose sum is σ = 42534090144. Its totient is φ = 2755399680.

The previous prime is 10981850387. The next prime is 10981850419. The reversal of 10981850400 is 405818901.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3303139 + ... + 3306461.

It is an arithmetic number, because the mean of its divisors is an integer number (98458542).

Almost surely, 2^10981850400 is an apocalyptic number.

10981850400 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 10981850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21267045072).

10981850400 is an abundant number, since it is smaller than the sum of its proper divisors (31552239744).

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

10981850400 is a wasteful number, since it uses less digits than its factorization.

10981850400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 10981850400 in words is "ten billion, nine hundred eighty-one million, eight hundred fifty thousand, four hundred".