10761600000 has 528 divisors, whose sum is σ = 38378793600. Its totient is φ = 2672640000.

The previous prime is 10761599987. The next prime is 10761600013. The reversal of 10761600000 is 616701.

It is an interprime number because it is at equal distance from previous prime (10761599987) and next prime (10761600013).

It is a self number, because there is not a number n which added to its sum of digits gives 10761600000.

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, 182399971 + ... + 182400029.

Almost surely, 2^10761600000 is an apocalyptic number.

10761600000 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 10761600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19189396800).

10761600000 is an abundant number, since it is smaller than the sum of its proper divisors (27617193600).

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

10761600000 is an frugal number, since it uses more digits than its factorization.

10761600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The spelling of 10761600000 in words is "ten billion, seven hundred sixty-one million, six hundred thousand".