30135019200 has 672 divisors, whose sum is σ = 118970218752. Its totient is φ = 6580224000.

The previous prime is 30135019193. The next prime is 30135019219. The reversal of 30135019200 is 291053103.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29514690 + ... + 29515710.

It is an arithmetic number, because the mean of its divisors is an integer number (177039016).

Almost surely, 2^30135019200 is an apocalyptic number.

30135019200 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 30135019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59485109376).

30135019200 is an abundant number, since it is smaller than the sum of its proper divisors (88835199552).

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

30135019200 is a wasteful number, since it uses less digits than its factorization.

30135019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The spelling of 30135019200 in words is "thirty billion, one hundred thirty-five million, nineteen thousand, two hundred".