261543746053620 has 72 divisors (see below), whose sum is σ = 793351010481120. Its totient is φ = 69744854116800.

The previous prime is 261543746053613. The next prime is 261543746053627. The reversal of 261543746053620 is 26350647345162.

261543746053620 is a `hidden beast` number, since 2 + 6 + 1 + 5 + 4 + 3 + 7 + 4 + 6 + 0 + 5 + 3 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (261543746053613) and next prime (261543746053627).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261543746053627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107053251 + ... + 109469109.

It is an arithmetic number, because the mean of its divisors is an integer number (11018764034460).

Almost surely, 2^{261543746053620} is an apocalyptic number.

261543746053620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261543746053620 is an abundant number, since it is smaller than the sum of its proper divisors (531807264427500).

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

261543746053620 is a wasteful number, since it uses less digits than its factorization.

261543746053620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017325 (or 3017320 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 261543746053620 in words is "two hundred sixty-one trillion, five hundred forty-three billion, seven hundred forty-six million, fifty-three thousand, six hundred twenty".