109995161702400 has 936 divisors, whose sum is σ = 428663693585400. Its totient is φ = 26796317736960.

The previous prime is 109995161702357. The next prime is 109995161702407. The reversal of 109995161702400 is 4207161599901.

It is a happy number.

109995161702400 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 9 + 5 + 161 + 70 + 2 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 18930435231744 + 91064726470656 = 4350912^2 + 9542784^2 .

It is a tau number, because it is divible by the number of its divisors (936).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109995161702407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1162090276 + ... + 1162184924.

Almost surely, 2^{109995161702400} is an apocalyptic number.

109995161702400 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 109995161702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214331846792700).

109995161702400 is an abundant number, since it is smaller than the sum of its proper divisors (318668531883000).

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

109995161702400 is a wasteful number, since it uses less digits than its factorization.

109995161702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94799 (or 94769 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 109995161702400 in words is "one hundred nine trillion, nine hundred ninety-five billion, one hundred sixty-one million, seven hundred two thousand, four hundred".