261461733120 has 864 divisors, whose sum is σ = 1096973789184. Its totient is φ = 56202854400.

The previous prime is 261461733101. The next prime is 261461733139. The reversal of 261461733120 is 21337164162.

261461733120 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 617 + 3 + 31 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (261461733101) and next prime (261461733139).

It is a super-2 number, since 2×261461733120² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 113136765 + ... + 113139075.

Almost surely, 2^261461733120 is an apocalyptic number.

261461733120 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 261461733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548486894592).

261461733120 is an abundant number, since it is smaller than the sum of its proper divisors (835512056064).

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

261461733120 is a wasteful number, since it uses less digits than its factorization.

261461733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 261461733120 its reverse (21337164162), we get a palindrome (282798897282).

The spelling of 261461733120 in words is "two hundred sixty-one billion, four hundred sixty-one million, seven hundred thirty-three thousand, one hundred twenty".