10116361626300 has 216 divisors, whose sum is σ = 32353289225712. Its totient is φ = 2643448320000.

The previous prime is 10116361626289. The next prime is 10116361626317. The reversal of 10116361626300 is 362616361101.

10116361626300 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 6 + 3 + 6 + 16 + 2 + 630 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 8243635 + ... + 9390965.

Almost surely, 2^{10116361626300} is an apocalyptic number.

10116361626300 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 10116361626300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16176644612856).

10116361626300 is an abundant number, since it is smaller than the sum of its proper divisors (22236927599412).

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

10116361626300 is a wasteful number, since it uses less digits than its factorization.

10116361626300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147549 (or 1147539 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 10116361626300 its reverse (362616361101), we get a palindrome (10478977987401).

The spelling of 10116361626300 in words is "ten trillion, one hundred sixteen billion, three hundred sixty-one million, six hundred twenty-six thousand, three hundred".