261924249164760 has 768 divisors, whose sum is σ = 1065982934016000. Its totient is φ = 54299535114240.

The previous prime is 261924249164759. The next prime is 261924249164801. The reversal of 261924249164760 is 67461942429162.

261924249164760 is a `hidden beast` number, since 2 + 6 + 1 + 9 + 2 + 42 + 491 + 6 + 47 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4022207481 + ... + 4022272599.

It is an arithmetic number, because the mean of its divisors is an integer number (1387998612000).

Almost surely, 2^{261924249164760} is an apocalyptic number.

261924249164760 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 261924249164760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532991467008000).

261924249164760 is an abundant number, since it is smaller than the sum of its proper divisors (804058684851240).

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

261924249164760 is a wasteful number, since it uses less digits than its factorization.

261924249164760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67296 (or 67289 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 261924249164760 in words is "two hundred sixty-one trillion, nine hundred twenty-four billion, two hundred forty-nine million, one hundred sixty-four thousand, seven hundred sixty".