10761566000 has 80 divisors (see below), whose sum is σ = 26106120768. Its totient is φ = 4290624000.

The previous prime is 10761565973. The next prime is 10761566003. The reversal of 10761566000 is 66516701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10761566000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10761566003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617405 + ... + 634595.

Almost surely, 2^10761566000 is an apocalyptic number.

10761566000 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 10761566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13053060384).

10761566000 is an abundant number, since it is smaller than the sum of its proper divisors (15344554768).

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

10761566000 is a wasteful number, since it uses less digits than its factorization.

10761566000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17527 (or 17511 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 10761566000 in words is "ten billion, seven hundred sixty-one million, five hundred sixty-six thousand".