10671508463616 has 1792 divisors, whose sum is σ = 42860821893120. Its totient is φ = 2534025461760.

The previous prime is 10671508463599. The next prime is 10671508463617. The reversal of 10671508463616 is 61636480517601.

It is a happy number.

10671508463616 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 15 + 0 + 8 + 4 + 6 + 3 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-3 number, since 3×10671508463616³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10671508463617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34760613735 + ... + 34760614041.

It is an arithmetic number, because the mean of its divisors is an integer number (23917869360).

Almost surely, 2^{10671508463616} is an apocalyptic number.

10671508463616 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 10671508463616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21430410946560).

10671508463616 is an abundant number, since it is smaller than the sum of its proper divisors (32189313429504).

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

10671508463616 is a wasteful number, since it uses less digits than its factorization.

10671508463616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10671508463616 in words is "ten trillion, six hundred seventy-one billion, five hundred eight million, four hundred sixty-three thousand, six hundred sixteen".