10723651965 has 224 divisors, whose sum is σ = 22460887680. Its totient is φ = 4867527168.

The previous prime is 10723651933. The next prime is 10723651973. The reversal of 10723651965 is 56915632701.

10723651965 is a `hidden beast` number, since 1 + 0 + 72 + 3 + 6 + 519 + 65 = 666.

It is not a de Polignac number, because 10723651965 - 2⁵ = 10723651933 is a prime.

It is a super-2 number, since 2×10723651965² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10723651965.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 38713407 + ... + 38713683.

It is an arithmetic number, because the mean of its divisors is an integer number (100271820).

Almost surely, 2^10723651965 is an apocalyptic number.

10723651965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10723651965 is an abundant number, since it is smaller than the sum of its proper divisors (11737235715).

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

10723651965 is a wasteful number, since it uses less digits than its factorization.

10723651965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 360 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, 107236 and 51965, that added together give a square (159201 = 399²).

The spelling of 10723651965 in words is "ten billion, seven hundred twenty-three million, six hundred fifty-one thousand, nine hundred sixty-five".