109606876952400 has 720 divisors, whose sum is σ = 401835050285760. Its totient is φ = 28683760435200.

The previous prime is 109606876952387. The next prime is 109606876952411. The reversal of 109606876952400 is 4259678606901.

109606876952400 is a `hidden beast` number, since 1 + 0 + 9 + 60 + 6 + 87 + 6 + 95 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2626614736 + ... + 2626656464.

It is an arithmetic number, because the mean of its divisors is an integer number (558104236508).

Almost surely, 2^{109606876952400} is an apocalyptic number.

109606876952400 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 109606876952400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200917525142880).

109606876952400 is an abundant number, since it is smaller than the sum of its proper divisors (292228173333360).

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

109606876952400 is a wasteful number, since it uses less digits than its factorization.

109606876952400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42266 (or 42243 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 109606876952400 in words is "one hundred nine trillion, six hundred six billion, eight hundred seventy-six million, nine hundred fifty-two thousand, four hundred".