30423859200 has 900 divisors, whose sum is σ = 129791921952. Its totient is φ = 6900940800.

The previous prime is 30423859183. The next prime is 30423859237. The reversal of 30423859200 is 295832403.

30423859200 is a `hidden beast` number, since 30 + 4 + 2 + 38 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×30423859200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 232243135 + ... + 232243265.

Almost surely, 2^30423859200 is an apocalyptic number.

30423859200 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 30423859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64895960976).

30423859200 is an abundant number, since it is smaller than the sum of its proper divisors (99368062752).

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

30423859200 is an equidigital number, since it uses as much as digits as its factorization.

30423859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 30423859200 in words is "thirty billion, four hundred twenty-three million, eight hundred fifty-nine thousand, two hundred".