1958116752 has 60 divisors (see below), whose sum is σ = 5549406720. Its totient is φ = 644439744.

The previous prime is 1958116709. The next prime is 1958116759. The reversal of 1958116752 is 2576118591.

1958116752 is a `hidden beast` number, since 1 + 9 + 581 + 1 + 67 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1958116698 and 1958116707.

It is not an unprimeable number, because it can be changed into a prime (1958116759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74688 + ... + 97439.

It is an arithmetic number, because the mean of its divisors is an integer number (92490112).

Almost surely, 2^1958116752 is an apocalyptic number.

1958116752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1958116752 is an abundant number, since it is smaller than the sum of its proper divisors (3591289968).

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

1958116752 is a wasteful number, since it uses less digits than its factorization.

1958116752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172220 (or 172211 counting only the distinct ones).

The product of its digits is 151200, while the sum is 45.

The square root of 1958116752 is about 44250.6130127030. The cubic root of 1958116752 is about 1251.0640011576.

The spelling of 1958116752 in words is "one billion, nine hundred fifty-eight million, one hundred sixteen thousand, seven hundred fifty-two".