30855199104000 has 2464 divisors, whose sum is σ = 124846590525696. Its totient is φ = 7577232998400.

The previous prime is 30855199103941. The next prime is 30855199104019. The reversal of 30855199104000 is 40199155803.

30855199104000 is a `hidden beast` number, since 3 + 0 + 8 + 5 + 519 + 91 + 0 + 40 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 84074111817 + ... + 84074112183.

Almost surely, 2^{30855199104000} is an apocalyptic number.

30855199104000 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 30855199104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62423295262848).

30855199104000 is an abundant number, since it is smaller than the sum of its proper divisors (93991391421696).

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

30855199104000 is an equidigital number, since it uses as much as digits as its factorization.

30855199104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 30855199104000 in words is "thirty trillion, eight hundred fifty-five billion, one hundred ninety-nine million, one hundred four thousand".