30886148868510 has 384 divisors, whose sum is σ = 84197343121920. Its totient is φ = 7202895114240.

The previous prime is 30886148868499. The next prime is 30886148868563. The reversal of 30886148868510 is 1586884168803.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17925796509 + ... + 17925798231.

It is an arithmetic number, because the mean of its divisors is an integer number (219263914380).

Almost surely, 2^{30886148868510} is an apocalyptic number.

30886148868510 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30886148868510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42098671560960).

30886148868510 is an abundant number, since it is smaller than the sum of its proper divisors (53311194253410).

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

30886148868510 is a wasteful number, since it uses less digits than its factorization.

30886148868510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 66.

The spelling of 30886148868510 in words is "thirty trillion, eight hundred eighty-six billion, one hundred forty-eight million, eight hundred sixty-eight thousand, five hundred ten".