261929076480 has 432 divisors, whose sum is σ = 940884759360. Its totient is φ = 67195699200.

The previous prime is 261929076449. The next prime is 261929076553. The reversal of 261929076480 is 84670929162.

261929076480 is a `hidden beast` number, since 2 + 6 + 1 + 9 + 2 + 90 + 76 + 480 = 666.

It is a super-2 number, since 2×261929076480² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103897620 + ... + 103900140.

It is an arithmetic number, because the mean of its divisors is an integer number (2177973980).

Almost surely, 2^261929076480 is an apocalyptic number.

261929076480 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 261929076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470442379680).

261929076480 is an abundant number, since it is smaller than the sum of its proper divisors (678955682880).

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

261929076480 is a wasteful number, since it uses less digits than its factorization.

261929076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 261929076480 in words is "two hundred sixty-one billion, nine hundred twenty-nine million, seventy-six thousand, four hundred eighty".