30961752385536 has 1728 divisors, whose sum is σ = 113240708380800. Its totient is φ = 8106142334976.

The previous prime is 30961752385523. The next prime is 30961752385621. The reversal of 30961752385536 is 63558325716903.

30961752385536 is a `hidden beast` number, since 3 + 0 + 9 + 6 + 1 + 75 + 2 + 3 + 8 + 553 + 6 = 666.

It is a super-2 number, since 2×30961752385536² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41671267981 + ... + 41671268723.

It is an arithmetic number, because the mean of its divisors is an integer number (65532817350).

Almost surely, 2^{30961752385536} is an apocalyptic number.

30961752385536 is a gapful number since it is divisible by the number (36) 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 30961752385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56620354190400).

30961752385536 is an abundant number, since it is smaller than the sum of its proper divisors (82278955995264).

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

30961752385536 is a wasteful number, since it uses less digits than its factorization.

30961752385536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 30961752385536 in words is "thirty trillion, nine hundred sixty-one billion, seven hundred fifty-two million, three hundred eighty-five thousand, five hundred thirty-six".