10989950400 has 840 divisors, whose sum is σ = 47538613584. Its totient is φ = 2455142400.

The previous prime is 10989950393. The next prime is 10989950429. The reversal of 10989950400 is 405998901.

10989950400 is a `hidden beast` number, since 109 + 8 + 99 + 50 + 400 = 666.

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 119 ways as a sum of consecutive naturals, for example, 18532504 + ... + 18533096.

Almost surely, 2^10989950400 is an apocalyptic number.

10989950400 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 10989950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23769306792).

10989950400 is an abundant number, since it is smaller than the sum of its proper divisors (36548663184).

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

10989950400 is a wasteful number, since it uses less digits than its factorization.

10989950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 10989950400 in words is "ten billion, nine hundred eighty-nine million, nine hundred fifty thousand, four hundred".