10544612406500 has 192 divisors, whose sum is σ = 23915439475200. Its totient is φ = 4058251891200.

The previous prime is 10544612406467. The next prime is 10544612406511. The reversal of 10544612406500 is 560421644501.

It is a happy number.

10544612406500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10544612406500² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1185716054 + ... + 1185724946.

It is an arithmetic number, because the mean of its divisors is an integer number (124559580600).

Almost surely, 2^{10544612406500} is an apocalyptic number.

10544612406500 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 10544612406500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11957719737600).

10544612406500 is an abundant number, since it is smaller than the sum of its proper divisors (13370827068700).

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

10544612406500 is a wasteful number, since it uses less digits than its factorization.

10544612406500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9655 (or 9643 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 10544612406500 in words is "ten trillion, five hundred forty-four billion, six hundred twelve million, four hundred six thousand, five hundred".