30840526080 has 1296 divisors, whose sum is σ = 138177801216. Its totient is φ = 6210846720.

The previous prime is 30840526069. The next prime is 30840526181. The reversal of 30840526080 is 8062504803.

30840526080 is a `hidden beast` number, since 3 + 0 + 8 + 40 + 5 + 2 + 608 + 0 = 666.

It is a super-2 number, since 2×30840526080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 422472924 + ... + 422472996.

Almost surely, 2^30840526080 is an apocalyptic number.

30840526080 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 30840526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69088900608).

30840526080 is an abundant number, since it is smaller than the sum of its proper divisors (107337275136).

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

30840526080 is a wasteful number, since it uses less digits than its factorization.

30840526080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 30840526080 in words is "thirty billion, eight hundred forty million, five hundred twenty-six thousand, eighty".