261052476480 has 280 divisors, whose sum is σ = 939805396992. Its totient is φ = 68774704128.

The previous prime is 261052476467. The next prime is 261052476533. The reversal of 261052476480 is 84674250162.

261052476480 is a `hidden beast` number, since 2 + 6 + 10 + 524 + 76 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2090689 + ... + 2212031.

Almost surely, 2^261052476480 is an apocalyptic number.

261052476480 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 261052476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469902698496).

261052476480 is an abundant number, since it is smaller than the sum of its proper divisors (678752920512).

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

261052476480 is a wasteful number, since it uses less digits than its factorization.

261052476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121455 (or 121436 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 261052476480 in words is "two hundred sixty-one billion, fifty-two million, four hundred seventy-six thousand, four hundred eighty".