30006601152 has 112 divisors (see below), whose sum is σ = 86848200192. Its totient is φ = 9067898880.

The previous prime is 30006601151. The next prime is 30006601153. The reversal of 30006601152 is 25110660003.

It is an interprime number because it is at equal distance from previous prime (30006601151) and next prime (30006601153).

It is a super-2 number, since 2×30006601152² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30006601151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755748 + ... + 794460.

Almost surely, 2^30006601152 is an apocalyptic number.

30006601152 is a gapful number since it is divisible by the number (32) 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 30006601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43424100096).

30006601152 is an abundant number, since it is smaller than the sum of its proper divisors (56841599040).

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

30006601152 is a wasteful number, since it uses less digits than its factorization.

30006601152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39106 (or 39096 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 30006601152 in words is "thirty billion, six million, six hundred one thousand, one hundred fifty-two".