30856283640000 has 1680 divisors, whose sum is σ = 140284252669440. Its totient is φ = 6510067200000.

The previous prime is 30856283639963. The next prime is 30856283640001. The reversal of 30856283640000 is 4638265803.

It is a happy number.

30856283640000 is a `hidden beast` number, since 3 + 0 + 8 + 562 + 83 + 6 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×30856283640000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30856283640001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1277627925 + ... + 1277652075.

Almost surely, 2^{30856283640000} is an apocalyptic number.

30856283640000 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 30856283640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70142126334720).

30856283640000 is an abundant number, since it is smaller than the sum of its proper divisors (109427969029440).

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

30856283640000 is a wasteful number, since it uses less digits than its factorization.

30856283640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24225 (or 24181 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 30856283640000 in words is "thirty trillion, eight hundred fifty-six billion, two hundred eighty-three million, six hundred forty thousand".