10458712615680 has 1728 divisors, whose sum is σ = 44667489484800. Its totient is φ = 2206403297280.

The previous prime is 10458712615667. The next prime is 10458712615711. The reversal of 10458712615680 is 8651621785401.

10458712615680 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 8 + 7 + 12 + 61 + 568 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 11480474425 + ... + 11480475335.

It is an arithmetic number, because the mean of its divisors is an integer number (25849241600).

Almost surely, 2^{10458712615680} is an apocalyptic number.

10458712615680 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 10458712615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22333744742400).

10458712615680 is an abundant number, since it is smaller than the sum of its proper divisors (34208776869120).

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

10458712615680 is a wasteful number, since it uses less digits than its factorization.

10458712615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 10458712615680 in words is "ten trillion, four hundred fifty-eight billion, seven hundred twelve million, six hundred fifteen thousand, six hundred eighty".