261479013120 has 864 divisors, whose sum is σ = 1004019831360. Its totient is φ = 62432870400.

The previous prime is 261479013101. The next prime is 261479013149. The reversal of 261479013120 is 21310974162.

261479013120 is a `hidden beast` number, since 2 + 61 + 479 + 0 + 1 + 3 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 892419694 + ... + 892419986.

It is an arithmetic number, because the mean of its divisors is an integer number (1162059990).

Almost surely, 2^261479013120 is an apocalyptic number.

261479013120 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 261479013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502009915680).

261479013120 is an abundant number, since it is smaller than the sum of its proper divisors (742540818240).

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

261479013120 is a wasteful number, since it uses less digits than its factorization.

261479013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 261479013120 its reverse (21310974162), we get a palindrome (282789987282).

The spelling of 261479013120 in words is "two hundred sixty-one billion, four hundred seventy-nine million, thirteen thousand, one hundred twenty".