15725673600 has 768 divisors, whose sum is σ = 65275822080. Its totient is φ = 3238871040.

The previous prime is 15725673599. The next prime is 15725673617. The reversal of 15725673600 is 637652751.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41059009 + ... + 41059391.

It is an arithmetic number, because the mean of its divisors is an integer number (84994560).

Almost surely, 2^15725673600 is an apocalyptic number.

15725673600 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 15725673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32637911040).

15725673600 is an abundant number, since it is smaller than the sum of its proper divisors (49550148480).

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

15725673600 is a wasteful number, since it uses less digits than its factorization.

15725673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The spelling of 15725673600 in words is "fifteen billion, seven hundred twenty-five million, six hundred seventy-three thousand, six hundred".