109078974950400 has 9504 divisors, whose sum is σ = 571898851488000. Its totient is φ = 20172830146560.

The previous prime is 109078974950377. The next prime is 109078974950489. The reversal of 109078974950400 is 4059479870901.

109078974950400 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 7 + 89 + 7 + 49 + 504 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1848796185571 + ... + 1848796185629.

Almost surely, 2^{109078974950400} is an apocalyptic number.

109078974950400 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 109078974950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285949425744000).

109078974950400 is an abundant number, since it is smaller than the sum of its proper divisors (462819876537600).

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

109078974950400 is a wasteful number, since it uses less digits than its factorization.

109078974950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 109078974950400 in words is "one hundred nine trillion, seventy-eight billion, nine hundred seventy-four million, nine hundred fifty thousand, four hundred".