109009562400 has 576 divisors, whose sum is σ = 419316912000. Its totient is φ = 27236597760.

The previous prime is 109009562381. The next prime is 109009562401. The reversal of 109009562400 is 4265900901.

109009562400 is a `hidden beast` number, since 1 + 0 + 90 + 0 + 9 + 562 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (109009562401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103917076 + ... + 103918124.

It is an arithmetic number, because the mean of its divisors is an integer number (727980750).

Almost surely, 2^109009562400 is an apocalyptic number.

109009562400 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 109009562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209658456000).

109009562400 is an abundant number, since it is smaller than the sum of its proper divisors (310307349600).

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

109009562400 is a wasteful number, since it uses less digits than its factorization.

109009562400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 109009562400 in words is "one hundred nine billion, nine million, five hundred sixty-two thousand, four hundred".