261432072646020 has 240 divisors, whose sum is σ = 832195316069040. Its totient is φ = 68695201529856.

The previous prime is 261432072646009. The next prime is 261432072646057. The reversal of 261432072646020 is 20646270234162.

261432072646020 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 32 + 0 + 7 + 2 + 6 + 4 + 602 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36918529427844 + 224513543218176 = 6076062^2 + 14983776^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32352552 + ... + 39617568.

It is an arithmetic number, because the mean of its divisors is an integer number (3467480483621).

Almost surely, 2^{261432072646020} is an apocalyptic number.

261432072646020 is a gapful number since it is divisible by the number (20) 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 261432072646020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416097658034520).

261432072646020 is an abundant number, since it is smaller than the sum of its proper divisors (570763243423020).

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

261432072646020 is a wasteful number, since it uses less digits than its factorization.

261432072646020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7265364 (or 7265353 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 261432072646020 in words is "two hundred sixty-one trillion, four hundred thirty-two billion, seventy-two million, six hundred forty-six thousand, twenty".