10652762016 has 144 divisors (see below), whose sum is σ = 33111789984. Its totient is φ = 3228774912.

The previous prime is 10652761979. The next prime is 10652762027. The reversal of 10652762016 is 61026725601.

It is a happy number.

10652762016 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 27 + 620 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10652762016² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229615 + ... + 272081.

It is an arithmetic number, because the mean of its divisors is an integer number (229942986).

Almost surely, 2^10652762016 is an apocalyptic number.

10652762016 is a gapful number since it is divisible by the number (16) 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 10652762016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16555894992).

10652762016 is an abundant number, since it is smaller than the sum of its proper divisors (22459027968).

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

10652762016 is a wasteful number, since it uses less digits than its factorization.

10652762016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42563 (or 42552 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10652762016 in words is "ten billion, six hundred fifty-two million, seven hundred sixty-two thousand, sixteen".