30827382855360 has 2688 divisors, whose sum is σ = 133659111481344. Its totient is φ = 5869173473280.

The previous prime is 30827382855331. The next prime is 30827382855439. The reversal of 30827382855360 is 6355828372803.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 30827382855294 and 30827382855303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 48092640640 + ... + 48092641280.

Almost surely, 2^{30827382855360} is an apocalyptic number.

30827382855360 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 30827382855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66829555740672).

30827382855360 is an abundant number, since it is smaller than the sum of its proper divisors (102831728625984).

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

30827382855360 is a wasteful number, since it uses less digits than its factorization.

30827382855360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 30827382855360 in words is "thirty trillion, eight hundred twenty-seven billion, three hundred eighty-two million, eight hundred fifty-five thousand, three hundred sixty".