15978641280 has 512 divisors, whose sum is σ = 62570880000. Its totient is φ = 3457327104.

The previous prime is 15978641267. The next prime is 15978641293. The reversal of 15978641280 is 8214687951.

15978641280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15978641267) and next prime (15978641293).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12512002 + ... + 12513278.

It is an arithmetic number, because the mean of its divisors is an integer number (122208750).

Almost surely, 2^15978641280 is an apocalyptic number.

15978641280 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 15978641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31285440000).

15978641280 is an abundant number, since it is smaller than the sum of its proper divisors (46592238720).

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

15978641280 is a wasteful number, since it uses less digits than its factorization.

15978641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 15978641280 in words is "fifteen billion, nine hundred seventy-eight million, six hundred forty-one thousand, two hundred eighty".