30000557260800 has 3264 divisors, whose sum is σ = 137615742028800. Its totient is φ = 6251190681600.

The previous prime is 30000557260799. The next prime is 30000557260813. The reversal of 30000557260800 is 806275500003.

30000557260800 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 0 + 5 + 572 + 6 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 215831347131 + ... + 215831347269.

Almost surely, 2^{30000557260800} is an apocalyptic number.

30000557260800 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 30000557260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68807871014400).

30000557260800 is an abundant number, since it is smaller than the sum of its proper divisors (107615184768000).

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

30000557260800 is a wasteful number, since it uses less digits than its factorization.

30000557260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 30000557260800 in words is "thirty trillion, five hundred fifty-seven million, two hundred sixty thousand, eight hundred".