30769048495872 has 288 divisors, whose sum is σ = 91943119699200. Its totient is φ = 10149072187392.

The previous prime is 30769048495811. The next prime is 30769048495909. The reversal of 30769048495872 is 27859484096703.

30769048495872 is a `hidden beast` number, since 3 + 0 + 7 + 6 + 90 + 48 + 495 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 30769048495872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670779754 + ... + 670825622.

It is an arithmetic number, because the mean of its divisors is an integer number (319246943400).

Almost surely, 2^{30769048495872} is an apocalyptic number.

30769048495872 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 30769048495872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45971559849600).

30769048495872 is an abundant number, since it is smaller than the sum of its proper divisors (61174071203328).

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

30769048495872 is a wasteful number, since it uses less digits than its factorization.

30769048495872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46908 (or 46888 counting only the distinct ones).

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

The spelling of 30769048495872 in words is "thirty trillion, seven hundred sixty-nine billion, forty-eight million, four hundred ninety-five thousand, eight hundred seventy-two".