30375047224080 has 640 divisors, whose sum is σ = 116872194700800. Its totient is φ = 7199683190784.

The previous prime is 30375047224007. The next prime is 30375047224087. The reversal of 30375047224080 is 8042274057303.

30375047224080 is a `hidden beast` number, since 3 + 0 + 3 + 7 + 504 + 7 + 22 + 40 + 80 = 666.

It is a super-2 number, since 2×30375047224080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30375047224087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 303691359 + ... + 303791361.

It is an arithmetic number, because the mean of its divisors is an integer number (182612804220).

Almost surely, 2^{30375047224080} is an apocalyptic number.

30375047224080 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 30375047224080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58436097350400).

30375047224080 is an abundant number, since it is smaller than the sum of its proper divisors (86497147476720).

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

30375047224080 is a wasteful number, since it uses less digits than its factorization.

30375047224080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100440 (or 100428 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 30375047224080 in words is "thirty trillion, three hundred seventy-five billion, forty-seven million, two hundred twenty-four thousand, eighty".