30166369920 has 896 divisors, whose sum is σ = 117996782400. Its totient is φ = 7345520640.

The previous prime is 30166369903. The next prime is 30166369927. The reversal of 30166369920 is 2996366103.

It is a happy number.

30166369920 is a `hidden beast` number, since 3 + 0 + 1 + 6 + 636 + 9 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30166369927) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 363450199 + ... + 363450281.

Almost surely, 2^30166369920 is an apocalyptic number.

30166369920 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 30166369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58998391200).

30166369920 is an abundant number, since it is smaller than the sum of its proper divisors (87830412480).

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

30166369920 is an equidigital number, since it uses as much as digits as its factorization.

30166369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 30166369920 in words is "thirty billion, one hundred sixty-six million, three hundred sixty-nine thousand, nine hundred twenty".