30026434268160 has 1056 divisors, whose sum is σ = 118185192163584. Its totient is φ = 7249305600000.

The previous prime is 30026434268147. The next prime is 30026434268227. The reversal of 30026434268160 is 6186243462003.

30026434268160 is a `hidden beast` number, since 3 + 0 + 0 + 2 + 64 + 3 + 426 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3435121390 + ... + 3435130130.

Almost surely, 2^{30026434268160} is an apocalyptic number.

30026434268160 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 30026434268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59092596081792).

30026434268160 is an abundant number, since it is smaller than the sum of its proper divisors (88158757895424).

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

30026434268160 is a wasteful number, since it uses less digits than its factorization.

30026434268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9043 (or 9013 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 30026434268160 in words is "thirty trillion, twenty-six billion, four hundred thirty-four million, two hundred sixty-eight thousand, one hundred sixty".