10989158400 has 540 divisors, whose sum is σ = 43101449664. Its totient is φ = 2654208000.

The previous prime is 10989158393. The next prime is 10989158419. The reversal of 10989158400 is 485198901.

10989158400 is a `hidden beast` number, since 1 + 0 + 98 + 9 + 158 + 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 35 ways as a sum of consecutive naturals, for example, 40550265 + ... + 40550535.

Almost surely, 2^10989158400 is an apocalyptic number.

10989158400 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 10989158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21550724832).

10989158400 is an abundant number, since it is smaller than the sum of its proper divisors (32112291264).

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

10989158400 is a wasteful number, since it uses less digits than its factorization.

10989158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 10989158400 in words is "ten billion, nine hundred eighty-nine million, one hundred fifty-eight thousand, four hundred".