30082864628880 has 400 divisors, whose sum is σ = 120639311506560. Its totient is φ = 6805194891264.

The previous prime is 30082864628849. The next prime is 30082864628881. The reversal of 30082864628880 is 8882646828003.

30082864628880 is a `hidden beast` number, since 30 + 0 + 8 + 286 + 46 + 288 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (30082864628881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 981351 + ... + 7818489.

Almost surely, 2^{30082864628880} is an apocalyptic number.

30082864628880 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 30082864628880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60319655753280).

30082864628880 is an abundant number, since it is smaller than the sum of its proper divisors (90556446877680).

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

30082864628880 is a wasteful number, since it uses less digits than its factorization.

30082864628880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837268 (or 6837253 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 30082864628880 in words is "thirty trillion, eighty-two billion, eight hundred sixty-four million, six hundred twenty-eight thousand, eight hundred eighty".