261875869429032 has 48 divisors (see below), whose sum is σ = 709319145768480. Its totient is φ = 87283095012000.

The previous prime is 261875869429001. The next prime is 261875869429033. The reversal of 261875869429032 is 230924968578162.

261875869429032 is a `hidden beast` number, since 2 + 6 + 1 + 8 + 7 + 586 + 9 + 4 + 2 + 9 + 0 + 32 = 666.

It is a super-2 number, since 2×261875869429032² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (261875869429033) by changing a digit.

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, 183899644 + ... + 185318187.

It is an arithmetic number, because the mean of its divisors is an integer number (14777482203510).

It is a 1-persistent number, because it is pandigital, but 2⋅261875869429032 = 523751738858064 is not.

Almost surely, 2^{261875869429032} is an apocalyptic number.

It is an amenable number.

261875869429032 is an abundant number, since it is smaller than the sum of its proper divisors (447443276339448).

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

261875869429032 is a wasteful number, since it uses less digits than its factorization.

261875869429032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369227694 (or 369227687 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 261875869429032 in words is "two hundred sixty-one trillion, eight hundred seventy-five billion, eight hundred sixty-nine million, four hundred twenty-nine thousand, thirty-two".