30807418838272 has 144 divisors (see below), whose sum is σ = 62387291213632. Its totient is φ = 15182156021760.

The previous prime is 30807418838257. The next prime is 30807418838281. The reversal of 30807418838272 is 27283881470803.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 30807418838272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2603511268 + ... + 2603523100.

Almost surely, 2^{30807418838272} is an apocalyptic number.

30807418838272 is a gapful number since it is divisible by the number (32) 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 30807418838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31193645606816).

30807418838272 is an abundant number, since it is smaller than the sum of its proper divisors (31579872375360).

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

30807418838272 is a wasteful number, since it uses less digits than its factorization.

30807418838272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12524 (or 12510 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 61.

The spelling of 30807418838272 in words is "thirty trillion, eight hundred seven billion, four hundred eighteen million, eight hundred thirty-eight thousand, two hundred seventy-two".