30873488256 has 448 divisors, whose sum is σ = 102638471040. Its totient is φ = 9181900800.

The previous prime is 30873488249. The next prime is 30873488267. The reversal of 30873488256 is 65288437803.

30873488256 is a `hidden beast` number, since 30 + 87 + 3 + 488 + 2 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 37604326 + ... + 37605146.

It is an arithmetic number, because the mean of its divisors is an integer number (229103730).

Almost surely, 2^30873488256 is an apocalyptic number.

30873488256 is a gapful number since it is divisible by the number (36) 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 30873488256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51319235520).

30873488256 is an abundant number, since it is smaller than the sum of its proper divisors (71764982784).

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

30873488256 is an equidigital number, since it uses as much as digits as its factorization.

30873488256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 30873488256 in words is "thirty billion, eight hundred seventy-three million, four hundred eighty-eight thousand, two hundred fifty-six".