30859126544064 has 336 divisors, whose sum is σ = 104460724182528. Its totient is φ = 7965506045952.

The previous prime is 30859126543933. The next prime is 30859126544083. The reversal of 30859126544064 is 46044562195803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 30859126543995 and 30859126544013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3064087 + ... + 8432489.

It is an arithmetic number, because the mean of its divisors is an integer number (310895012448).

Almost surely, 2^{30859126544064} 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 30859126544064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52230362091264).

30859126544064 is an abundant number, since it is smaller than the sum of its proper divisors (73601597638464).

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

30859126544064 is a wasteful number, since it uses less digits than its factorization.

30859126544064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368492 (or 5368475 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 30859126544064 in words is "thirty trillion, eight hundred fifty-nine billion, one hundred twenty-six million, five hundred forty-four thousand, sixty-four".