10587225600 has 720 divisors, whose sum is σ = 45646423680. Its totient is φ = 2289254400.

The previous prime is 10587225589. The next prime is 10587225613. The reversal of 10587225600 is 652278501.

It is a happy number.

10587225600 is a `hidden beast` number, since 1 + 0 + 587 + 22 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10587225600² (a number of 21 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 15321255 + ... + 15321945.

Almost surely, 2^10587225600 is an apocalyptic number.

10587225600 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 10587225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22823211840).

10587225600 is an abundant number, since it is smaller than the sum of its proper divisors (35059198080).

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

10587225600 is a wasteful number, since it uses less digits than its factorization.

10587225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 10587225600 in words is "ten billion, five hundred eighty-seven million, two hundred twenty-five thousand, six hundred".