30987214964592 has 160 divisors (see below), whose sum is σ = 85275499161600. Its totient is φ = 9668394296064.

The previous prime is 30987214964567. The next prime is 30987214964597. The reversal of 30987214964592 is 29546941278903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30987214964597) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36565413 + ... + 37403259.

It is an arithmetic number, because the mean of its divisors is an integer number (532971869760).

It is a 1-persistent number, because it is pandigital, but 2⋅30987214964592 = 61974429929184 is not.

Almost surely, 2^{30987214964592} 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 30987214964592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42637749580800).

30987214964592 is an abundant number, since it is smaller than the sum of its proper divisors (54288284197008).

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

30987214964592 is a wasteful number, since it uses less digits than its factorization.

30987214964592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838363 (or 838357 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 69.

The spelling of 30987214964592 in words is "thirty trillion, nine hundred eighty-seven billion, two hundred fourteen million, nine hundred sixty-four thousand, five hundred ninety-two".