30145061556000 has 576 divisors, whose sum is σ = 108523015526016. Its totient is φ = 7923813120000.

The previous prime is 30145061555953. The next prime is 30145061556007. The reversal of 30145061556000 is 65516054103.

30145061556000 is a `hidden beast` number, since 3 + 0 + 1 + 45 + 0 + 6 + 1 + 5 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×30145061556000² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30145061556007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 825353739 + ... + 825390261.

It is an arithmetic number, because the mean of its divisors is an integer number (188408013066).

Almost surely, 2^{30145061556000} is an apocalyptic number.

30145061556000 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 30145061556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54261507763008).

30145061556000 is an abundant number, since it is smaller than the sum of its proper divisors (78377953970016).

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

30145061556000 is a wasteful number, since it uses less digits than its factorization.

30145061556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36882 (or 36861 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 30145061556000 in words is "thirty trillion, one hundred forty-five billion, sixty-one million, five hundred fifty-six thousand".