30857069878272 has 880 divisors, whose sum is σ = 103806284928000. Its totient is φ = 9045314150400.

The previous prime is 30857069878267. The next prime is 30857069878331. The reversal of 30857069878272 is 27287896075803.

It is a super-2 number, since 2×30857069878272² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30857069878272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12548624179 + ... + 12548626637.

Almost surely, 2^{30857069878272} is an apocalyptic number.

30857069878272 is a gapful number since it is divisible by the number (32) 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 30857069878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51903142464000).

30857069878272 is an abundant number, since it is smaller than the sum of its proper divisors (72949215049728).

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

30857069878272 is an equidigital number, since it uses as much as digits as its factorization.

30857069878272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 30857069878272 in words is "thirty trillion, eight hundred fifty-seven billion, sixty-nine million, eight hundred seventy-eight thousand, two hundred seventy-two".