30863738880 has 768 divisors, whose sum is σ = 122401843200. Its totient is φ = 7325614080.

The previous prime is 30863738861. The next prime is 30863738891. The reversal of 30863738880 is 8883736803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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, 111421302 + ... + 111421578.

It is an arithmetic number, because the mean of its divisors is an integer number (159377400).

Almost surely, 2^30863738880 is an apocalyptic number.

30863738880 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 30863738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61200921600).

30863738880 is an abundant number, since it is smaller than the sum of its proper divisors (91538104320).

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

30863738880 is a wasteful number, since it uses less digits than its factorization.

30863738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 30863738880 in words is "thirty billion, eight hundred sixty-three million, seven hundred thirty-eight thousand, eight hundred eighty".