261114032550 has 192 divisors, whose sum is σ = 744889466880. Its totient is φ = 59295905280.

The previous prime is 261114032539. The next prime is 261114032567. The reversal of 261114032550 is 55230411162.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 157013019 + ... + 157014681.

It is an arithmetic number, because the mean of its divisors is an integer number (3879632640).

Almost surely, 2^261114032550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261114032550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372444733440).

261114032550 is an abundant number, since it is smaller than the sum of its proper divisors (483775434330).

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

261114032550 is a wasteful number, since it uses less digits than its factorization.

261114032550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 261114032550 in words is "two hundred sixty-one billion, one hundred fourteen million, thirty-two thousand, five hundred fifty".