10455986316672 has 192 divisors, whose sum is σ = 32589972651600. Its totient is φ = 3198629081088.

The previous prime is 10455986316661. The next prime is 10455986316691. The reversal of 10455986316672 is 27661368955401.

It is a happy number.

10455986316672 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 598 + 6 + 31 + 6 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572979 + ... + 4608717.

It is a 1-persistent number, because it is pandigital, but 2⋅10455986316672 = 20911972633344 is not.

Almost surely, 2^{10455986316672} is an apocalyptic number.

10455986316672 is a gapful number since it is divisible by the number (12) 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 10455986316672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16294986325800).

10455986316672 is an abundant number, since it is smaller than the sum of its proper divisors (22133986334928).

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

10455986316672 is a wasteful number, since it uses less digits than its factorization.

10455986316672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035945 (or 4035930 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 10455986316672 in words is "ten trillion, four hundred fifty-five billion, nine hundred eighty-six million, three hundred sixteen thousand, six hundred seventy-two".