15966575040 has 224 divisors, whose sum is σ = 54703285056. Its totient is φ = 3922329600.

The previous prime is 15966575003. The next prime is 15966575041. The reversal of 15966575040 is 4057566951.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15966575041) 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 31 ways as a sum of consecutive naturals, for example, 8398090 + ... + 8399990.

It is an arithmetic number, because the mean of its divisors is an integer number (244211094).

Almost surely, 2^15966575040 is an apocalyptic number.

15966575040 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 15966575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27351642528).

15966575040 is an abundant number, since it is smaller than the sum of its proper divisors (38736710016).

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

15966575040 is a wasteful number, since it uses less digits than its factorization.

15966575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The spelling of 15966575040 in words is "fifteen billion, nine hundred sixty-six million, five hundred seventy-five thousand, forty".