30052774849968 has 240 divisors, whose sum is σ = 94061134702080. Its totient is φ = 9234135551232.

The previous prime is 30052774849931. The next prime is 30052774849991. The reversal of 30052774849968 is 86994847725003.

30052774849968 is a `hidden beast` number, since 3 + 0 + 0 + 5 + 2 + 7 + 74 + 8 + 499 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 30052774849896 and 30052774849905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35927655 + ... + 36754617.

It is an arithmetic number, because the mean of its divisors is an integer number (391921394592).

Almost surely, 2^{30052774849968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30052774849968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47030567351040).

30052774849968 is an abundant number, since it is smaller than the sum of its proper divisors (64008359852112).

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

30052774849968 is a wasteful number, since it uses less digits than its factorization.

30052774849968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827718 (or 827700 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 30052774849968 in words is "thirty trillion, fifty-two billion, seven hundred seventy-four million, eight hundred forty-nine thousand, nine hundred sixty-eight".