30993580800 has 1512 divisors, whose sum is σ = 143500197344. Its totient is φ = 6449725440.

The previous prime is 30993580771. The next prime is 30993580817. The reversal of 30993580800 is 808539903.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×30993580800² (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 167 ways as a sum of consecutive naturals, for example, 424569564 + ... + 424569636.

Almost surely, 2^30993580800 is an apocalyptic number.

30993580800 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 30993580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71750098672).

30993580800 is an abundant number, since it is smaller than the sum of its proper divisors (112506616544).

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

30993580800 is an equidigital number, since it uses as much as digits as its factorization.

30993580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 30993580800 in words is "thirty billion, nine hundred ninety-three million, five hundred eighty thousand, eight hundred".