10873724760 has 192 divisors, whose sum is σ = 36452782080. Its totient is φ = 2809416960.

The previous prime is 10873724747. The next prime is 10873724779. The reversal of 10873724760 is 6742737801.

10873724760 is a `hidden beast` number, since 108 + 7 + 3 + 72 + 476 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1963195 + ... + 1968725.

It is an arithmetic number, because the mean of its divisors is an integer number (189858240).

Almost surely, 2^10873724760 is an apocalyptic number.

10873724760 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 10873724760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18226391040).

10873724760 is an abundant number, since it is smaller than the sum of its proper divisors (25579057320).

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

10873724760 is a wasteful number, since it uses less digits than its factorization.

10873724760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 10873724760 in words is "ten billion, eight hundred seventy-three million, seven hundred twenty-four thousand, seven hundred sixty".