30877623993216 has 2048 divisors, whose sum is σ = 115660421775360. Its totient is φ = 7043100180480.

The previous prime is 30877623993179. The next prime is 30877623993217. The reversal of 30877623993216 is 61239932677803.

It is a super-2 number, since 2×30877623993216² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30877623993217) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 189433275951 + ... + 189433276113.

It is an arithmetic number, because the mean of its divisors is an integer number (56474815320).

Almost surely, 2^{30877623993216} 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 30877623993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57830210887680).

30877623993216 is an abundant number, since it is smaller than the sum of its proper divisors (84782797782144).

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

30877623993216 is a wasteful number, since it uses less digits than its factorization.

30877623993216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 66.

The spelling of 30877623993216 in words is "thirty trillion, eight hundred seventy-seven billion, six hundred twenty-three million, nine hundred ninety-three thousand, two hundred sixteen".