15958945080 has 512 divisors, whose sum is σ = 60796108800. Its totient is φ = 3695155200.

The previous prime is 15958945073. The next prime is 15958945087. The reversal of 15958945080 is 8054985951.

15958945080 is a `hidden beast` number, since 1 + 5 + 9 + 589 + 4 + 50 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (15958945073) and next prime (15958945087).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15958945087) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 16103385 + ... + 16104375.

It is an arithmetic number, because the mean of its divisors is an integer number (118742400).

Almost surely, 2^15958945080 is an apocalyptic number.

15958945080 is a gapful number since it is divisible by the number (10) 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 15958945080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30398054400).

15958945080 is an abundant number, since it is smaller than the sum of its proper divisors (44837163720).

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

15958945080 is a wasteful number, since it uses less digits than its factorization.

15958945080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 15958945080 in words is "fifteen billion, nine hundred fifty-eight million, nine hundred forty-five thousand, eighty".