30075217920000 has 3600 divisors, whose sum is σ = 130698493094400. Its totient is φ = 6812467200000.

The previous prime is 30075217919987. The next prime is 30075217920047. The reversal of 30075217920000 is 2971257003.

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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 970168319985 + ... + 970168320015.

Almost surely, 2^{30075217920000} is an apocalyptic number.

30075217920000 is a gapful number since it is divisible by the number (30) 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 30075217920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65349246547200).

30075217920000 is an abundant number, since it is smaller than the sum of its proper divisors (100623275174400).

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

30075217920000 is an equidigital number, since it uses as much as digits as its factorization.

30075217920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 30075217920000 in words is "thirty trillion, seventy-five billion, two hundred seventeen million, nine hundred twenty thousand".