30229954560 has 768 divisors, whose sum is σ = 120227889600. Its totient is φ = 6964641792.

The previous prime is 30229954543. The next prime is 30229954561. The reversal of 30229954560 is 6545992203.

30229954560 is a `hidden beast` number, since 30 + 2 + 2 + 9 + 9 + 54 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (30229954561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364216279 + ... + 364216361.

Almost surely, 2^30229954560 is an apocalyptic number.

30229954560 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 30229954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60113944800).

30229954560 is an abundant number, since it is smaller than the sum of its proper divisors (89997935040).

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

30229954560 is a wasteful number, since it uses less digits than its factorization.

30229954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 30229954560 in words is "thirty billion, two hundred twenty-nine million, nine hundred fifty-four thousand, five hundred sixty".