261157534848 has 192 divisors, whose sum is σ = 886572510720. Its totient is φ = 72209387520.

The previous prime is 261157534831. The next prime is 261157534871. The reversal of 261157534848 is 848435751162.

It is a happy number.

261157534848 is a `hidden beast` number, since 2 + 6 + 1 + 157 + 5 + 3 + 484 + 8 = 666.

261157534848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 261157534794 and 261157534803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272365 + ... + 772332.

It is an arithmetic number, because the mean of its divisors is an integer number (4617565160).

Almost surely, 2^261157534848 is an apocalyptic number.

261157534848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

261157534848 is an abundant number, since it is smaller than the sum of its proper divisors (625414975872).

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

261157534848 is a wasteful number, since it uses less digits than its factorization.

261157534848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044755 (or 1044740 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 261157534848 in words is "two hundred sixty-one billion, one hundred fifty-seven million, five hundred thirty-four thousand, eight hundred forty-eight".