6109931520000 has 3600 divisors, whose sum is σ = 29407160946240. Its totient is φ = 1238630400000.

The previous prime is 6109931519977. The next prime is 6109931520031. The reversal of 6109931520000 is 251399016.

6109931520000 is a `hidden beast` number, since 6 + 10 + 99 + 31 + 520 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 149022719980 + ... + 149022720020.

Almost surely, 2^{6109931520000} is an apocalyptic number.

6109931520000 is a gapful number since it is divisible by the number (60) 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 6109931520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703580473120).

6109931520000 is an abundant number, since it is smaller than the sum of its proper divisors (23297229426240).

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

6109931520000 is an equidigital number, since it uses as much as digits as its factorization.

6109931520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 6109931520000 in words is "six trillion, one hundred nine billion, nine hundred thirty-one million, five hundred twenty thousand".