261464738700000 has 288 divisors, whose sum is σ = 935865029554560. Its totient is φ = 63385390400000.

The previous prime is 261464738699981. The next prime is 261464738700007. The reversal of 261464738700000 is 7837464162.

It is a happy number.

261464738700000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261464738700007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36315870 + ... + 42915869.

It is an arithmetic number, because the mean of its divisors is an integer number (3249531352620).

Almost surely, 2^{261464738700000} is an apocalyptic number.

261464738700000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261464738700000 is an abundant number, since it is smaller than the sum of its proper divisors (674400290854560).

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

261464738700000 is an equidigital number, since it uses as much as digits as its factorization.

261464738700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79231788 (or 79231760 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 261464738700000 in words is "two hundred sixty-one trillion, four hundred sixty-four billion, seven hundred thirty-eight million, seven hundred thousand".