261757440000 has 1040 divisors, whose sum is σ = 1109525338240. Its totient is φ = 59719680000.

The previous prime is 261757439987. The next prime is 261757440017. The reversal of 261757440000 is 44757162.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 483839730 + ... + 483840270.

Almost surely, 2^261757440000 is an apocalyptic number.

261757440000 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 261757440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554762669120).

261757440000 is an abundant number, since it is smaller than the sum of its proper divisors (847767898240).

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

261757440000 is an frugal number, since it uses more digits than its factorization.

261757440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 261757440000 in words is "two hundred sixty-one billion, seven hundred fifty-seven million, four hundred forty thousand".