30805790400000 has 4200 divisors, whose sum is σ = 146798760793608. Its totient is φ = 6401203200000.

The previous prime is 30805790399959. The next prime is 30805790400031. The reversal of 30805790400000 is 409750803.

30805790400000 is a `hidden beast` number, since 3 + 0 + 80 + 579 + 0 + 4 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4200).

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 419 ways as a sum of consecutive naturals, for example, 2800526399995 + ... + 2800526400005.

Almost surely, 2^{30805790400000} is an apocalyptic number.

30805790400000 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 30805790400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73399380396804).

30805790400000 is an abundant number, since it is smaller than the sum of its proper divisors (115992970393608).

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

30805790400000 is an frugal number, since it uses more digits than its factorization.

30805790400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 30805790400000 in words is "thirty trillion, eight hundred five billion, seven hundred ninety million, four hundred thousand".