10730461500 has 288 divisors, whose sum is σ = 38168020800. Its totient is φ = 2600928000.

The previous prime is 10730461471. The next prime is 10730461507. The reversal of 10730461500 is 516403701.

10730461500 is a `hidden beast` number, since 10 + 7 + 30 + 4 + 615 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10730461507) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1630216 + ... + 1636784.

It is an arithmetic number, because the mean of its divisors is an integer number (132527850).

Almost surely, 2^10730461500 is an apocalyptic number.

10730461500 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 10730461500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19084010400).

10730461500 is an abundant number, since it is smaller than the sum of its proper divisors (27437559300).

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

10730461500 is a wasteful number, since it uses less digits than its factorization.

10730461500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6619 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10730461500 in words is "ten billion, seven hundred thirty million, four hundred sixty-one thousand, five hundred".