261060433920 has 1920 divisors, whose sum is σ = 1150753443840. Its totient is φ = 55738368000.

The previous prime is 261060433897. The next prime is 261060433943. The reversal of 261060433920 is 29334060162.

261060433920 is a `hidden beast` number, since 2 + 6 + 10 + 604 + 3 + 39 + 2 + 0 = 666.

261060433920 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261060433897) and next prime (261060433943).

It is a tau number, because it is divible by the number of its divisors (1920).

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3676907485 + ... + 3676907555.

It is an arithmetic number, because the mean of its divisors is an integer number (599350752).

Almost surely, 2^261060433920 is an apocalyptic number.

261060433920 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 261060433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575376721920).

261060433920 is an abundant number, since it is smaller than the sum of its proper divisors (889693009920).

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

261060433920 is a wasteful number, since it uses less digits than its factorization.

261060433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 261060433920 in words is "two hundred sixty-one billion, sixty million, four hundred thirty-three thousand, nine hundred twenty".