100002725660400 has 480 divisors, whose sum is σ = 338344119590400. Its totient is φ = 25215793827840.

The previous prime is 100002725660381. The next prime is 100002725660401. The reversal of 100002725660400 is 4066527200001.

It is a super-2 number, since 2×100002725660400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002725660401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 379799194 + ... + 380062406.

It is an arithmetic number, because the mean of its divisors is an integer number (704883582480).

Almost surely, 2^{100002725660400} is an apocalyptic number.

100002725660400 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 100002725660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169172059795200).

100002725660400 is an abundant number, since it is smaller than the sum of its proper divisors (238341393930000).

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

100002725660400 is a wasteful number, since it uses less digits than its factorization.

100002725660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263513 (or 263502 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 100002725660400 in words is "one hundred trillion, two billion, seven hundred twenty-five million, six hundred sixty thousand, four hundred".