16245817768100 has 72 divisors (see below), whose sum is σ = 37339605377928. Its totient is φ = 6114032640000.

The previous prime is 16245817768069. The next prime is 16245817768109. The reversal of 16245817768100 is 186771854261.

It can be written as a sum of positive squares in 12 ways, for example, as 367362058816 + 15878455709284 = 606104^2 + 3984778^2 .

It is a super-2 number, since 2×16245817768100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16245817768109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3509504 + ... + 6693896.

It is an arithmetic number, because the mean of its divisors is an integer number (518605630249).

Almost surely, 2^{16245817768100} is an apocalyptic number.

16245817768100 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 16245817768100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18669802688964).

16245817768100 is an abundant number, since it is smaller than the sum of its proper divisors (21093787609828).

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

16245817768100 is a wasteful number, since it uses less digits than its factorization.

16245817768100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187425 (or 3187418 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 56.

The spelling of 16245817768100 in words is "sixteen trillion, two hundred forty-five billion, eight hundred seventeen million, seven hundred sixty-eight thousand, one hundred".