261714249720 has 320 divisors, whose sum is σ = 1096708377600. Its totient is φ = 54382129920.

The previous prime is 261714249707. The next prime is 261714249721. The reversal of 261714249720 is 27942417162.

261714249720 is a `hidden beast` number, since 2 + 6 + 17 + 142 + 497 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261714249721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 275040 + ... + 773999.

It is an arithmetic number, because the mean of its divisors is an integer number (3427213680).

Almost surely, 2^261714249720 is an apocalyptic number.

261714249720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261714249720 is an abundant number, since it is smaller than the sum of its proper divisors (834994127880).

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

261714249720 is a wasteful number, since it uses less digits than its factorization.

261714249720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049080 (or 1049067 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 261714249720 in words is "two hundred sixty-one billion, seven hundred fourteen million, two hundred forty-nine thousand, seven hundred twenty".