15200649216 has 384 divisors, whose sum is σ = 48091155840. Its totient is φ = 4788191232.

The previous prime is 15200649203. The next prime is 15200649223. The reversal of 15200649216 is 61294600251.

15200649216 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 0 + 649 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183140311 + ... + 183140393.

It is an arithmetic number, because the mean of its divisors is an integer number (125237385).

Almost surely, 2^15200649216 is an apocalyptic number.

15200649216 is a gapful number since it is divisible by the number (16) 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 15200649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24045577920).

15200649216 is an abundant number, since it is smaller than the sum of its proper divisors (32890506624).

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

15200649216 is an frugal number, since it uses more digits than its factorization.

15200649216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 15200649216 in words is "fifteen billion, two hundred million, six hundred forty-nine thousand, two hundred sixteen".