261022668480000 has 3600 divisors, whose sum is σ = 1155147097104000. Its totient is φ = 57622026240000.

The previous prime is 261022668479941. The next prime is 261022668480107. The reversal of 261022668480000 is 84866220162.

261022668480000 is a `hidden beast` number, since 2 + 6 + 102 + 2 + 6 + 68 + 480 + 0 + 0 + 0 = 666.

261022668480000 is digitally balanced in base 2 and base 4, 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 (3600).

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 359 ways as a sum of consecutive naturals, for example, 523091519751 + ... + 523091520249.

It is an arithmetic number, because the mean of its divisors is an integer number (320874193640).

Almost surely, 2^{261022668480000} is an apocalyptic number.

261022668480000 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 261022668480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577573548552000).

261022668480000 is an abundant number, since it is smaller than the sum of its proper divisors (894124428624000).

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

261022668480000 is an frugal number, since it uses more digits than its factorization.

261022668480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 261022668480000 in words is "two hundred sixty-one trillion, twenty-two billion, six hundred sixty-eight million, four hundred eighty thousand".