30099904560 has 240 divisors, whose sum is σ = 114360180480. Its totient is φ = 7296894720.

The previous prime is 30099904543. The next prime is 30099904573. The reversal of 30099904560 is 6540999003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×30099904560² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143461 + ... + 284219.

It is an arithmetic number, because the mean of its divisors is an integer number (476500752).

Almost surely, 2^30099904560 is an apocalyptic number.

30099904560 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 30099904560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57180090240).

30099904560 is an abundant number, since it is smaller than the sum of its proper divisors (84260275920).

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

30099904560 is a wasteful number, since it uses less digits than its factorization.

30099904560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140798 (or 140780 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 30099904560 in words is "thirty billion, ninety-nine million, nine hundred four thousand, five hundred sixty".