10763165952 has 756 divisors, whose sum is σ = 41259211056. Its totient is φ = 2769500160.

The previous prime is 10763165927. The next prime is 10763165969. The reversal of 10763165952 is 25956136701.

10763165952 is a `hidden beast` number, since 1 + 0 + 7 + 631 + 6 + 5 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a junction number, because it is equal to n+sod(n) for n = 10763165898 and 10763165907.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 100590283 + ... + 100590389.

It is an arithmetic number, because the mean of its divisors is an integer number (54575676).

Almost surely, 2^10763165952 is an apocalyptic number.

10763165952 is a gapful number since it is divisible by the number (12) 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 10763165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20629605528).

10763165952 is an abundant number, since it is smaller than the sum of its proper divisors (30496045104).

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

10763165952 is an equidigital number, since it uses as much as digits as its factorization.

10763165952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

It can be divided in two parts, 10763 and 165952, that added together give a triangular number (176715 = T₅₉₄).

The spelling of 10763165952 in words is "ten billion, seven hundred sixty-three million, one hundred sixty-five thousand, nine hundred fifty-two".