30053199052800 has 4080 divisors, whose sum is σ = 147824583299712. Its totient is φ = 5843504332800.

The previous prime is 30053199052769. The next prime is 30053199052801. The reversal of 30053199052800 is 825099135003.

30053199052800 is a `hidden beast` number, since 3 + 0 + 0 + 5 + 31 + 9 + 90 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4080).

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

It is not an unprimeable number, because it can be changed into a prime (30053199052801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 173717913514 + ... + 173717913686.

Almost surely, 2^{30053199052800} is an apocalyptic number.

30053199052800 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 30053199052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73912291649856).

30053199052800 is an abundant number, since it is smaller than the sum of its proper divisors (117771384246912).

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

30053199052800 is a wasteful number, since it uses less digits than its factorization.

30053199052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 30053199052800 in words is "thirty trillion, fifty-three billion, one hundred ninety-nine million, fifty-two thousand, eight hundred".