109986717040200 has 3840 divisors, whose sum is σ = 531843239854080. Its totient is φ = 20323353600000.

The previous prime is 109986717040171. The next prime is 109986717040247. The reversal of 109986717040200 is 2040717689901.

109986717040200 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 8 + 67 + 170 + 402 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 166394427870 + ... + 166394428530.

It is an arithmetic number, because the mean of its divisors is an integer number (138500843712).

Almost surely, 2^{109986717040200} is an apocalyptic number.

109986717040200 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 109986717040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265921619927040).

109986717040200 is an abundant number, since it is smaller than the sum of its proper divisors (421856522813880).

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

109986717040200 is a wasteful number, since it uses less digits than its factorization.

109986717040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 109986717040200 in words is "one hundred nine trillion, nine hundred eighty-six billion, seven hundred seventeen million, forty thousand, two hundred".