10763656488 has 160 divisors (see below), whose sum is σ = 34377595560. Its totient is φ = 3117035520.

The previous prime is 10763656469. The next prime is 10763656531. The reversal of 10763656488 is 88465636701.

10763656488 is a `hidden beast` number, since 1 + 0 + 76 + 3 + 6 + 564 + 8 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8096760324 + 2666896164 = 89982^2 + 51642^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105628 + ... + 180788.

Almost surely, 2^10763656488 is an apocalyptic number.

10763656488 is a gapful number since it is divisible by the number (18) 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 10763656488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17188797780).

10763656488 is an abundant number, since it is smaller than the sum of its proper divisors (23613939072).

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

10763656488 is a wasteful number, since it uses less digits than its factorization.

10763656488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75209 (or 75196 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 10763656488 in words is "ten billion, seven hundred sixty-three million, six hundred fifty-six thousand, four hundred eighty-eight".