30417088920 has 128 divisors (see below), whose sum is σ = 93148704000. Its totient is φ = 7943605760.

The previous prime is 30417088901. The next prime is 30417088951. The reversal of 30417088920 is 2988071403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1896535 + ... + 1912505.

It is an arithmetic number, because the mean of its divisors is an integer number (727724250).

Almost surely, 2^30417088920 is an apocalyptic number.

30417088920 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 30417088920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46574352000).

30417088920 is an abundant number, since it is smaller than the sum of its proper divisors (62731615080).

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

30417088920 is a wasteful number, since it uses less digits than its factorization.

30417088920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16313 (or 16309 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 30417088920 in words is "thirty billion, four hundred seventeen million, eighty-eight thousand, nine hundred twenty".