261162455552100 has 108 divisors (see below), whose sum is σ = 818668737628560. Its totient is φ = 69637406155200.

The previous prime is 261162455552083. The next prime is 261162455552107. The reversal of 261162455552100 is 1255554261162.

It is a happy number.

261162455552100 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 624 + 5 + 5 + 5 + 5 + 2 + 10 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (261162455552107) 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 35 ways as a sum of consecutive naturals, for example, 1716606 + ... + 22918805.

Almost surely, 2^{261162455552100} is an apocalyptic number.

261162455552100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261162455552100 is an abundant number, since it is smaller than the sum of its proper divisors (557506282076460).

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

261162455552100 is a wasteful number, since it uses less digits than its factorization.

261162455552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24647210 (or 24647200 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 261162455552100 in words is "two hundred sixty-one trillion, one hundred sixty-two billion, four hundred fifty-five million, five hundred fifty-two thousand, one hundred".