261292279852800 has 2592 divisors, whose sum is σ = 1130055271833600. Its totient is φ = 58899848232960.

The previous prime is 261292279852757. The next prime is 261292279852819. The reversal of 261292279852800 is 8258972292162.

261292279852800 is a `hidden beast` number, since 2 + 6 + 1 + 2 + 9 + 2 + 279 + 85 + 280 + 0 = 666.

261292279852800 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 Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 207539538571 + ... + 207539539829.

Almost surely, 2^{261292279852800} is an apocalyptic number.

261292279852800 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 261292279852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565027635916800).

261292279852800 is an abundant number, since it is smaller than the sum of its proper divisors (868762991980800).

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

261292279852800 is a wasteful number, since it uses less digits than its factorization.

261292279852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 261292279852800 in words is "two hundred sixty-one trillion, two hundred ninety-two billion, two hundred seventy-nine million, eight hundred fifty-two thousand, eight hundred".