109827412800000 has 960 divisors, whose sum is σ = 418429834276608. Its totient is φ = 25074892800000.

The previous prime is 109827412799987. The next prime is 109827412800013. The reversal of 109827412800000 is 8214728901.

It is an interprime number because it is at equal distance from previous prime (109827412799987) and next prime (109827412800013).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48148798860 + ... + 48148801140.

Almost surely, 2^{109827412800000} is an apocalyptic number.

109827412800000 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 109827412800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209214917138304).

109827412800000 is an abundant number, since it is smaller than the sum of its proper divisors (308602421476608).

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

109827412800000 is an frugal number, since it uses more digits than its factorization.

109827412800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 109827412800000 in words is "one hundred nine trillion, eight hundred twenty-seven billion, four hundred twelve million, eight hundred thousand".