10730715600 has 360 divisors, whose sum is σ = 38061688896. Its totient is φ = 2582272000.

The previous prime is 10730715553. The next prime is 10730715641. The reversal of 10730715600 is 651703701.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 38187460 + ... + 38187740.

Almost surely, 2^10730715600 is an apocalyptic number.

10730715600 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 10730715600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19030844448).

10730715600 is an abundant number, since it is smaller than the sum of its proper divisors (27330973296).

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

10730715600 is a wasteful number, since it uses less digits than its factorization.

10730715600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The spelling of 10730715600 in words is "ten billion, seven hundred thirty million, seven hundred fifteen thousand, six hundred".