30786823872 has 448 divisors, whose sum is σ = 106639360000. Its totient is φ = 8705636352.

The previous prime is 30786823853. The next prime is 30786823883. The reversal of 30786823872 is 27832868703.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75273204 + ... + 75273612.

Almost surely, 2^30786823872 is an apocalyptic number.

30786823872 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 30786823872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53319680000).

30786823872 is an abundant number, since it is smaller than the sum of its proper divisors (75852536128).

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

30786823872 is a wasteful number, since it uses less digits than its factorization.

30786823872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 30786823872 in words is "thirty billion, seven hundred eighty-six million, eight hundred twenty-three thousand, eight hundred seventy-two".