30135009751808 has 576 divisors, whose sum is σ = 73769172664320. Its totient is φ = 12143831040000.

The previous prime is 30135009751793. The next prime is 30135009751817. The reversal of 30135009751808 is 80815790053103.

It is a super-3 number, since 3×30135009751808³ (a number of 41 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 11316187085 + ... + 11316189747.

It is an arithmetic number, because the mean of its divisors is an integer number (128071480320).

Almost surely, 2^{30135009751808} is an apocalyptic number.

30135009751808 is a gapful number since it is divisible by the number (38) 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 30135009751808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36884586332160).

30135009751808 is an abundant number, since it is smaller than the sum of its proper divisors (43634162912512).

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

30135009751808 is a wasteful number, since it uses less digits than its factorization.

30135009751808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 50.

The spelling of 30135009751808 in words is "thirty trillion, one hundred thirty-five billion, nine million, seven hundred fifty-one thousand, eight hundred eight".