15680553600 has 384 divisors, whose sum is σ = 55076474880. Its totient is φ = 3911987200.

The previous prime is 15680553599. The next prime is 15680553611. The reversal of 15680553600 is 635508651.

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

It is a super-2 number, since 2×15680553600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10376845 + ... + 10378355.

It is an arithmetic number, because the mean of its divisors is an integer number (143428320).

Almost surely, 2^15680553600 is an apocalyptic number.

15680553600 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 15680553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27538237440).

15680553600 is an abundant number, since it is smaller than the sum of its proper divisors (39395921280).

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

15680553600 is a wasteful number, since it uses less digits than its factorization.

15680553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 15680553600 in words is "fifteen billion, six hundred eighty million, five hundred fifty-three thousand, six hundred".