10507349600 has 432 divisors, whose sum is σ = 30858181200. Its totient is φ = 3477196800.

The previous prime is 10507349599. The next prime is 10507349617. The reversal of 10507349600 is 694370501.

It is a super-2 number, since 2×10507349600² (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 71 ways as a sum of consecutive naturals, for example, 53336702 + ... + 53336898.

It is an arithmetic number, because the mean of its divisors is an integer number (71430975).

Almost surely, 2^10507349600 is an apocalyptic number.

10507349600 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 10507349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15429090600).

10507349600 is an abundant number, since it is smaller than the sum of its proper divisors (20350831600).

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

10507349600 is a wasteful number, since it uses less digits than its factorization.

10507349600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 10507349600 in words is "ten billion, five hundred seven million, three hundred forty-nine thousand, six hundred".