30986636748000 has 768 divisors, whose sum is σ = 109998714728448. Its totient is φ = 7605227520000.

The previous prime is 30986636747981. The next prime is 30986636748017. The reversal of 30986636748000 is 84763668903.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 127 ways as a sum of consecutive naturals, for example, 826049245 + ... + 826086755.

It is an arithmetic number, because the mean of its divisors is an integer number (143227493136).

Almost surely, 2^{30986636748000} is an apocalyptic number.

30986636748000 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 30986636748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54999357364224).

30986636748000 is an abundant number, since it is smaller than the sum of its proper divisors (79012077980448).

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

30986636748000 is a wasteful number, since it uses less digits than its factorization.

30986636748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37676 (or 37658 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 30986636748000 in words is "thirty trillion, nine hundred eighty-six billion, six hundred thirty-six million, seven hundred forty-eight thousand".