30205316266260 has 192 divisors, whose sum is σ = 89989553332224. Its totient is φ = 7543733299200.

The previous prime is 30205316266249. The next prime is 30205316266289. The reversal of 30205316266260 is 6266261350203.

It is a super-2 number, since 2×30205316266260² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2305214869 + ... + 2305227971.

It is an arithmetic number, because the mean of its divisors is an integer number (468695590272).

Almost surely, 2^{30205316266260} is an apocalyptic number.

30205316266260 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 30205316266260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44994776666112).

30205316266260 is an abundant number, since it is smaller than the sum of its proper divisors (59784237065964).

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

30205316266260 is a wasteful number, since it uses less digits than its factorization.

30205316266260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24054 (or 24052 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 30205316266260 in words is "thirty trillion, two hundred five billion, three hundred sixteen million, two hundred sixty-six thousand, two hundred sixty".