30086464128 has 384 divisors, whose sum is σ = 102140352000. Its totient is φ = 7787501568.

The previous prime is 30086464127. The next prime is 30086464129. The reversal of 30086464128 is 82146468003.

It is an interprime number because it is at equal distance from previous prime (30086464127) and next prime (30086464129).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 30086464128.

It is not an unprimeable number, because it can be changed into a prime (30086464127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8220763 + ... + 8224421.

It is an arithmetic number, because the mean of its divisors is an integer number (265990500).

Almost surely, 2^30086464128 is an apocalyptic number.

30086464128 is a gapful number since it is divisible by the number (38) 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 30086464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51070176000).

30086464128 is an abundant number, since it is smaller than the sum of its proper divisors (72053887872).

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

30086464128 is a wasteful number, since it uses less digits than its factorization.

30086464128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 30086464128 in words is "thirty billion, eighty-six million, four hundred sixty-four thousand, one hundred twenty-eight".