15956640000 has 540 divisors, whose sum is σ = 65744654976. Its totient is φ = 3644928000.

The previous prime is 15956639999. The next prime is 15956640001. The reversal of 15956640000 is 4665951.

15956640000 is a `hidden beast` number, since 1 + 5 + 9 + 5 + 6 + 640 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (15956639999) and next prime (15956640001).

It is a super-2 number, since 2×15956640000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (15956640001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 10079209 + ... + 10080791.

Almost surely, 2^15956640000 is an apocalyptic number.

15956640000 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 15956640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32872327488).

15956640000 is an abundant number, since it is smaller than the sum of its proper divisors (49788014976).

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

15956640000 is an equidigital number, since it uses as much as digits as its factorization.

15956640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 15956640000 in words is "fifteen billion, nine hundred fifty-six million, six hundred forty thousand".