10507284500 has 48 divisors (see below), whose sum is σ = 22959977040. Its totient is φ = 4200704000.

The previous prime is 10507284499. The next prime is 10507284509. The reversal of 10507284500 is 548270501.

It can be written as a sum of positive squares in 8 ways, for example, as 7233842704 + 3273441796 = 85052^2 + 57214^2 .

It is a super-2 number, since 2×10507284500² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10507284509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1216196 + ... + 1224804.

It is an arithmetic number, because the mean of its divisors is an integer number (478332855).

Almost surely, 2^10507284500 is an apocalyptic number.

10507284500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10507284500 is an abundant number, since it is smaller than the sum of its proper divisors (12452692540).

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

10507284500 is a wasteful number, since it uses less digits than its factorization.

10507284500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11069 (or 11057 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The spelling of 10507284500 in words is "ten billion, five hundred seven million, two hundred eighty-four thousand, five hundred".