15375225600 has 1080 divisors, whose sum is σ = 68696714240. Its totient is φ = 3314442240.

The previous prime is 15375225571. The next prime is 15375225601. The reversal of 15375225600 is 652257351.

15375225600 is a `hidden beast` number, since 1 + 5 + 3 + 75 + 22 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (15375225601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68947089 + ... + 68947311.

Almost surely, 2^15375225600 is an apocalyptic number.

15375225600 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 15375225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34348357120).

15375225600 is an abundant number, since it is smaller than the sum of its proper divisors (53321488640).

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

15375225600 is a wasteful number, since it uses less digits than its factorization.

15375225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 15375225600 in words is "fifteen billion, three hundred seventy-five million, two hundred twenty-five thousand, six hundred".