261293155200 has 2304 divisors, whose sum is σ = 1278561024000. Its totient is φ = 49132339200.

The previous prime is 261293155199. The next prime is 261293155219. The reversal of 261293155200 is 2551392162.

It is a happy number.

261293155200 is a `hidden beast` number, since 2 + 6 + 12 + 93 + 1 + 552 + 0 + 0 = 666.

It is a super-2 number, since 2×261293155200² (a number of 24 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 1093276681 + ... + 1093276919.

It is an arithmetic number, because the mean of its divisors is an integer number (554931000).

Almost surely, 2^261293155200 is an apocalyptic number.

261293155200 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 261293155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639280512000).

261293155200 is an abundant number, since it is smaller than the sum of its proper divisors (1017267868800).

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

261293155200 is a wasteful number, since it uses less digits than its factorization.

261293155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 261293155200 in words is "two hundred sixty-one billion, two hundred ninety-three million, one hundred fifty-five thousand, two hundred".