261624003400260 has 36 divisors (see below), whose sum is σ = 793592810314668. Its totient is φ = 69766400906688.

The previous prime is 261624003400231. The next prime is 261624003400283. The reversal of 261624003400260 is 62004300426162.

261624003400260 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 240 + 0 + 3 + 400 + 2 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 203882758677504 + 57741244722756 = 14278752^2 + 7598766^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 726733342599 + ... + 726733342958.

It is an arithmetic number, because the mean of its divisors is an integer number (22044244730963).

Almost surely, 2^{261624003400260} is an apocalyptic number.

261624003400260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261624003400260 is an abundant number, since it is smaller than the sum of its proper divisors (531968806914408).

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

261624003400260 is a wasteful number, since it uses less digits than its factorization.

261624003400260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453466685572 (or 1453466685567 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 261624003400260 in words is "two hundred sixty-one trillion, six hundred twenty-four billion, three million, four hundred thousand, two hundred sixty".