30880051200 has 936 divisors, whose sum is σ = 123113089008. Its totient is φ = 7644119040.

The previous prime is 30880051129. The next prime is 30880051247. The reversal of 30880051200 is 215008803.

It is a happy number.

It is a super-2 number, since 2×30880051200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 423014364 + ... + 423014436.

It is an arithmetic number, because the mean of its divisors is an integer number (131531078).

Almost surely, 2^30880051200 is an apocalyptic number.

30880051200 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 30880051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61556544504).

30880051200 is an abundant number, since it is smaller than the sum of its proper divisors (92233037808).

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

30880051200 is an equidigital number, since it uses as much as digits as its factorization.

30880051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

It can be divided in two parts, 308800 and 51200, that added together give a square (360000 = 600²).

The spelling of 30880051200 in words is "thirty billion, eight hundred eighty million, fifty-one thousand, two hundred".