10493625600 has 216 divisors, whose sum is σ = 38479689920. Its totient is φ = 2798254080.

The previous prime is 10493625587. The next prime is 10493625601. The reversal of 10493625600 is 652639401.

It is a happy number.

10493625600 is a `hidden beast` number, since 1 + 0 + 4 + 93 + 6 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×10493625600² (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 not an unprimeable number, because it can be changed into a prime (10493625601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142437 + ... + 203163.

Almost surely, 2^10493625600 is an apocalyptic number.

10493625600 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 10493625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19239844960).

10493625600 is an abundant number, since it is smaller than the sum of its proper divisors (27986064320).

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

10493625600 is an equidigital number, since it uses as much as digits as its factorization.

10493625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60762 (or 60737 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10493625600 in words is "ten billion, four hundred ninety-three million, six hundred twenty-five thousand, six hundred".