30190349358072 has 512 divisors, whose sum is σ = 96419507328000. Its totient is φ = 8691841105920.

The previous prime is 30190349358061. The next prime is 30190349358121. The reversal of 30190349358072 is 27085394309103.

30190349358072 is a `hidden beast` number, since 3 + 0 + 1 + 9 + 0 + 3 + 493 + 5 + 80 + 72 = 666.

It is a super-3 number, since 3×30190349358072³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 585955672 + ... + 586007192.

It is an arithmetic number, because the mean of its divisors is an integer number (188319350250).

Almost surely, 2^{30190349358072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30190349358072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48209753664000).

30190349358072 is an abundant number, since it is smaller than the sum of its proper divisors (66229157969928).

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

30190349358072 is a wasteful number, since it uses less digits than its factorization.

30190349358072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51836 (or 51826 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 30190349358072 in words is "thirty trillion, one hundred ninety billion, three hundred forty-nine million, three hundred fifty-eight thousand, seventy-two".