261947073360 has 240 divisors, whose sum is σ = 945657009792. Its totient is φ = 59807462400.

The previous prime is 261947073359. The next prime is 261947073371. The reversal of 261947073360 is 63370749162.

261947073360 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11054325 + ... + 11077995.

Almost surely, 2^261947073360 is an apocalyptic number.

261947073360 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 261947073360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472828504896).

261947073360 is an abundant number, since it is smaller than the sum of its proper divisors (683709936432).

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

261947073360 is a wasteful number, since it uses less digits than its factorization.

261947073360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24642 (or 24629 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 261947073360 in words is "two hundred sixty-one billion, nine hundred forty-seven million, seventy-three thousand, three hundred sixty".