261732598400 has 1152 divisors, whose sum is σ = 874912752000. Its totient is φ = 77022167040.

The previous prime is 261732598367. The next prime is 261732598411. The reversal of 261732598400 is 4895237162.

261732598400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3153404759 + ... + 3153404841.

It is an arithmetic number, because the mean of its divisors is an integer number (759472875).

It is a 1-persistent number, because it is pandigital, but 2⋅261732598400 = 523465196800 is not.

Almost surely, 2^261732598400 is an apocalyptic number.

261732598400 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 261732598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437456376000).

261732598400 is an abundant number, since it is smaller than the sum of its proper divisors (613180153600).

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

261732598400 is a wasteful number, since it uses less digits than its factorization.

261732598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 261732598400 in words is "two hundred sixty-one billion, seven hundred thirty-two million, five hundred ninety-eight thousand, four hundred".