1958987016 has 96 divisors (see below), whose sum is σ = 6140409600. Its totient is φ = 552614400.

The previous prime is 1958986961. The next prime is 1958987053. The reversal of 1958987016 is 6107898591.

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 23 ways as a sum of consecutive naturals, for example, 15216 + ... + 64416.

It is an arithmetic number, because the mean of its divisors is an integer number (63962600).

Almost surely, 2^1958987016 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 1958987016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070204800).

1958987016 is an abundant number, since it is smaller than the sum of its proper divisors (4181422584).

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

1958987016 is a wasteful number, since it uses less digits than its factorization.

1958987016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49299 (or 49292 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The square root of 1958987016 is about 44260.4452756635. The cubic root of 1958987016 is about 1251.2493143682.

The spelling of 1958987016 in words is "one billion, nine hundred fifty-eight million, nine hundred eighty-seven thousand, sixteen".