261481619220120 has 960 divisors, whose sum is σ = 976663814353920. Its totient is φ = 62370470873088.

The previous prime is 261481619220083. The next prime is 261481619220131. The reversal of 261481619220120 is 21022916184162.

261481619220120 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 8 + 1 + 619 + 2 + 2 + 0 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9890731542 + ... + 9890757978.

It is an arithmetic number, because the mean of its divisors is an integer number (1017358139952).

Almost surely, 2^{261481619220120} is an apocalyptic number.

261481619220120 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 261481619220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488331907176960).

261481619220120 is an abundant number, since it is smaller than the sum of its proper divisors (715182195133800).

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

261481619220120 is a wasteful number, since it uses less digits than its factorization.

261481619220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26686 (or 26630 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 261481619220120 in words is "two hundred sixty-one trillion, four hundred eighty-one billion, six hundred nineteen million, two hundred twenty thousand, one hundred twenty".