261062822400 has 480 divisors, whose sum is σ = 891871041600. Its totient is φ = 67279257600.

The previous prime is 261062822359. The next prime is 261062822401. The reversal of 261062822400 is 4228260162.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (261062822401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138200656 + ... + 138202544.

It is an arithmetic number, because the mean of its divisors is an integer number (1858064670).

Almost surely, 2^261062822400 is an apocalyptic number.

261062822400 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 261062822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445935520800).

261062822400 is an abundant number, since it is smaller than the sum of its proper divisors (630808219200).

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

261062822400 is a wasteful number, since it uses less digits than its factorization.

261062822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 261062822400 in words is "two hundred sixty-one billion, sixty-two million, eight hundred twenty-two thousand, four hundred".