261355248000 has 2048 divisors, whose sum is σ = 1227540787200. Its totient is φ = 53747712000.

The previous prime is 261355247953. The next prime is 261355248017. The reversal of 261355248000 is 842553162.

261355248000 is a `hidden beast` number, since 2 + 61 + 3 + 552 + 48 + 0 + 0 + 0 = 666.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2694383952 + ... + 2694384048.

It is an arithmetic number, because the mean of its divisors is an integer number (599385150).

Almost surely, 2^261355248000 is an apocalyptic number.

261355248000 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 261355248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613770393600).

261355248000 is an abundant number, since it is smaller than the sum of its proper divisors (966185539200).

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

261355248000 is an frugal number, since it uses more digits than its factorization.

261355248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 261355248000 in words is "two hundred sixty-one billion, three hundred fifty-five million, two hundred forty-eight thousand".