10647958752 has 72 divisors (see below), whose sum is σ = 30663491040. Its totient is φ = 3504384000.

The previous prime is 10647958747. The next prime is 10647958757. The reversal of 10647958752 is 25785974601.

10647958752 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 7 + 9 + 587 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (10647958747) and next prime (10647958757).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10647958752² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10647958757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211249 + ... + 256752.

It is an arithmetic number, because the mean of its divisors is an integer number (425881820).

Almost surely, 2^10647958752 is an apocalyptic number.

10647958752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10647958752 is an abundant number, since it is smaller than the sum of its proper divisors (20015532288).

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

10647958752 is a wasteful number, since it uses less digits than its factorization.

10647958752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468096 (or 468085 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 10647958752 in words is "ten billion, six hundred forty-seven million, nine hundred fifty-eight thousand, seven hundred fifty-two".