15631941120 has 320 divisors, whose sum is σ = 51229221120. Its totient is φ = 4065394688.

The previous prime is 15631941113. The next prime is 15631941121. The reversal of 15631941120 is 2114913651.

15631941120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15631941121) 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 31 ways as a sum of consecutive naturals, for example, 87329191 + ... + 87329369.

It is an arithmetic number, because the mean of its divisors is an integer number (160091316).

Almost surely, 2^15631941120 is an apocalyptic number.

15631941120 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 15631941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25614610560).

15631941120 is an abundant number, since it is smaller than the sum of its proper divisors (35597280000).

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

15631941120 is a wasteful number, since it uses less digits than its factorization.

15631941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 15631941120 in words is "fifteen billion, six hundred thirty-one million, nine hundred forty-one thousand, one hundred twenty".