30026035888128 has 1368 divisors, whose sum is σ = 109676780321472. Its totient is φ = 8039574798336.

The previous prime is 30026035888049. The next prime is 30026035888151. The reversal of 30026035888128 is 82188853062003.

30026035888128 is a `hidden beast` number, since 3 + 0 + 0 + 2 + 603 + 5 + 8 + 8 + 8 + 1 + 28 = 666.

It is a super-2 number, since 2×30026035888128² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128867106700 + ... + 128867106932.

Almost surely, 2^{30026035888128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30026035888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54838390160736).

30026035888128 is an abundant number, since it is smaller than the sum of its proper divisors (79650744433344).

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

30026035888128 is an frugal number, since it uses more digits than its factorization.

30026035888128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 30026035888128 in words is "thirty trillion, twenty-six billion, thirty-five million, eight hundred eighty-eight thousand, one hundred twenty-eight".