30211500480 has 224 divisors, whose sum is σ = 112588340736. Its totient is φ = 6718795776.

The previous prime is 30211500413. The next prime is 30211500493. The reversal of 30211500480 is 8400511203.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×30211500480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30211500480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187887 + ... + 309393.

Almost surely, 2^30211500480 is an apocalyptic number.

30211500480 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 30211500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56294170368).

30211500480 is an abundant number, since it is smaller than the sum of its proper divisors (82376840256).

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

30211500480 is a wasteful number, since it uses less digits than its factorization.

30211500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121571 (or 121561 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 30211500480 in words is "thirty billion, two hundred eleven million, five hundred thousand, four hundred eighty".