10812185951616 has 192 divisors, whose sum is σ = 35710548325920. Its totient is φ = 3075937099776.

The previous prime is 10812185951563. The next prime is 10812185951621. The reversal of 10812185951616 is 61615958121801.

10812185951616 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 2 + 18 + 5 + 9 + 5 + 1 + 616 = 666.

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

It is a super-2 number, since 2×10812185951616² (a number of 27 digits) contains 22 as substring.

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, 998335 + ... + 4756158.

Almost surely, 2^{10812185951616} is an apocalyptic number.

10812185951616 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 10812185951616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17855274162960).

10812185951616 is an abundant number, since it is smaller than the sum of its proper divisors (24898362374304).

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

10812185951616 is a wasteful number, since it uses less digits than its factorization.

10812185951616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754753 (or 5754738 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 54.

The spelling of 10812185951616 in words is "ten trillion, eight hundred twelve billion, one hundred eighty-five million, nine hundred fifty-one thousand, six hundred sixteen".