30005766252000 has 1536 divisors, whose sum is σ = 137248671006720. Its totient is φ = 6185652480000.

The previous prime is 30005766251977. The next prime is 30005766252019. The reversal of 30005766252000 is 25266750003.

It is a happy number.

30005766252000 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 5 + 7 + 6 + 625 + 20 + 0 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 1056117795 + ... + 1056146205.

It is an arithmetic number, because the mean of its divisors is an integer number (89354603520).

Almost surely, 2^{30005766252000} is an apocalyptic number.

30005766252000 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 30005766252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68624335503360).

30005766252000 is an abundant number, since it is smaller than the sum of its proper divisors (107242904754720).

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

30005766252000 is a wasteful number, since it uses less digits than its factorization.

30005766252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28590 (or 28566 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 30005766252000 in words is "thirty trillion, five billion, seven hundred sixty-six million, two hundred fifty-two thousand".