261277291142784 has 2048 divisors, whose sum is σ = 965980173312000. Its totient is φ = 68717632241664.

The previous prime is 261277291142687. The next prime is 261277291142837. The reversal of 261277291142784 is 487241192772162.

It is a happy number.

261277291142784 is a `hidden beast` number, since 2 + 6 + 1 + 2 + 77 + 291 + 1 + 4 + 278 + 4 = 666.

It is a super-2 number, since 2×261277291142784² (a number of 30 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 469079517034 + ... + 469079517590.

It is an arithmetic number, because the mean of its divisors is an integer number (471670006500).

Almost surely, 2^{261277291142784} is an apocalyptic number.

261277291142784 is a gapful number since it is divisible by the number (24) 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 261277291142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482990086656000).

261277291142784 is an abundant number, since it is smaller than the sum of its proper divisors (704702882169216).

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

261277291142784 is an equidigital number, since it uses as much as digits as its factorization.

261277291142784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 924 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 63.

The spelling of 261277291142784 in words is "two hundred sixty-one trillion, two hundred seventy-seven billion, two hundred ninety-one million, one hundred forty-two thousand, seven hundred eighty-four".