30134522880 has 1408 divisors, whose sum is σ = 141488640000. Its totient is φ = 5892341760.

The previous prime is 30134522857. The next prime is 30134522897. The reversal of 30134522880 is 8822543103.

30134522880 is a `hidden beast` number, since 30 + 1 + 345 + 2 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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 127 ways as a sum of consecutive naturals, for example, 202245046 + ... + 202245194.

Almost surely, 2^30134522880 is an apocalyptic number.

30134522880 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 30134522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70744320000).

30134522880 is an abundant number, since it is smaller than the sum of its proper divisors (111354117120).

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

30134522880 is a wasteful number, since it uses less digits than its factorization.

30134522880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

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

The spelling of 30134522880 in words is "thirty billion, one hundred thirty-four million, five hundred twenty-two thousand, eight hundred eighty".