10724549850 has 144 divisors (see below), whose sum is σ = 34149355968. Its totient is φ = 2451306240.

The previous prime is 10724549837. The next prime is 10724549879. The reversal of 10724549850 is 5894542701.

10724549850 is a `hidden beast` number, since 1 + 0 + 7 + 24 + 549 + 85 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 10724549796 and 10724549805.

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, 22002 + ... + 148098.

Almost surely, 2^10724549850 is an apocalyptic number.

10724549850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10724549850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074677984).

10724549850 is an abundant number, since it is smaller than the sum of its proper divisors (23424806118).

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

10724549850 is a wasteful number, since it uses less digits than its factorization.

10724549850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126131 (or 126114 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10724549850 in words is "ten billion, seven hundred twenty-four million, five hundred forty-nine thousand, eight hundred fifty".