30800873544 has 192 divisors, whose sum is σ = 90963518400. Its totient is φ = 8664768000.

The previous prime is 30800873531. The next prime is 30800873557. The reversal of 30800873544 is 44537800803.

It is an interprime number because it is at equal distance from previous prime (30800873531) and next prime (30800873557).

It is a super-2 number, since 2×30800873544² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 30800873496 and 30800873505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25061122 + ... + 25062350.

It is an arithmetic number, because the mean of its divisors is an integer number (473768325).

Almost surely, 2^30800873544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30800873544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45481759200).

30800873544 is an abundant number, since it is smaller than the sum of its proper divisors (60162644856).

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

30800873544 is a wasteful number, since it uses less digits than its factorization.

30800873544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 30800873544 in words is "thirty billion, eight hundred million, eight hundred seventy-three thousand, five hundred forty-four".