30742807171888 has 320 divisors, whose sum is σ = 71283437568000. Its totient is φ = 12572047687680.

The previous prime is 30742807171789. The next prime is 30742807171907. The reversal of 30742807171888 is 88817170824703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32809825756 + ... + 32809826692.

It is an arithmetic number, because the mean of its divisors is an integer number (222760742400).

Almost surely, 2^{30742807171888} 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 30742807171888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35641718784000).

30742807171888 is an abundant number, since it is smaller than the sum of its proper divisors (40540630396112).

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

30742807171888 is a wasteful number, since it uses less digits than its factorization.

30742807171888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 64.

The spelling of 30742807171888 in words is "thirty trillion, seven hundred forty-two billion, eight hundred seven million, one hundred seventy-one thousand, eight hundred eighty-eight".