261753465875616 has 2304 divisors, whose sum is σ = 951090771456000. Its totient is φ = 69487165440000.

The previous prime is 261753465875611. The next prime is 261753465875659. The reversal of 261753465875616 is 616578564357162.

261753465875616 is a `hidden beast` number, since 2 + 6 + 1 + 7 + 5 + 3 + 4 + 6 + 58 + 7 + 561 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (261753465875611) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 582969856960 + ... + 582969857408.

It is an arithmetic number, because the mean of its divisors is an integer number (412799814000).

Almost surely, 2^{261753465875616} is an apocalyptic number.

261753465875616 is a gapful number since it is divisible by the number (26) 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 261753465875616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475545385728000).

261753465875616 is an abundant number, since it is smaller than the sum of its proper divisors (689337305580384).

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

261753465875616 is a wasteful number, since it uses less digits than its factorization.

261753465875616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 747 counting only the distinct ones).

The product of its digits is 1524096000, while the sum is 72.

The spelling of 261753465875616 in words is "two hundred sixty-one trillion, seven hundred fifty-three billion, four hundred sixty-five million, eight hundred seventy-five thousand, six hundred sixteen".