10646138880 has 416 divisors, whose sum is σ = 40787248320. Its totient is φ = 2618818560.

The previous prime is 10646138863. The next prime is 10646138917. The reversal of 10646138880 is 8883164601.

It is a happy number.

10646138880 is a `hidden beast` number, since 106 + 461 + 3 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×10646138880² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7187740 + ... + 7189220.

It is an arithmetic number, because the mean of its divisors is an integer number (98046270).

Almost surely, 2^10646138880 is an apocalyptic number.

10646138880 is a gapful number since it is divisible by the number (10) 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 10646138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20393624160).

10646138880 is an abundant number, since it is smaller than the sum of its proper divisors (30141109440).

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

10646138880 is a wasteful number, since it uses less digits than its factorization.

10646138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10646138880 in words is "ten billion, six hundred forty-six million, one hundred thirty-eight thousand, eight hundred eighty".