261252666414300 has 72 divisors (see below), whose sum is σ = 824608416183552. Its totient is φ = 63333979736000.

The previous prime is 261252666414281. The next prime is 261252666414307. The reversal of 261252666414300 is 3414666252162.

261252666414300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 261252666414300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261252666414307) 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, 39583734036 + ... + 39583740635.

It is an arithmetic number, because the mean of its divisors is an integer number (11452894669216).

Almost surely, 2^{261252666414300} is an apocalyptic number.

261252666414300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261252666414300 is an abundant number, since it is smaller than the sum of its proper divisors (563355749769252).

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

261252666414300 is a wasteful number, since it uses less digits than its factorization.

261252666414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79167474699 (or 79167474692 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 261252666414300 in words is "two hundred sixty-one trillion, two hundred fifty-two billion, six hundred sixty-six million, four hundred fourteen thousand, three hundred".