261425001600 has 1152 divisors, whose sum is σ = 1113413558400. Its totient is φ = 57162792960.

The previous prime is 261425001599. The next prime is 261425001601. The reversal of 261425001600 is 6100524162.

261425001600 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 2 + 50 + 0 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (261425001599) and next prime (261425001601).

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (261425001601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 459446116 + ... + 459446684.

It is an arithmetic number, because the mean of its divisors is an integer number (966504825).

Almost surely, 2^261425001600 is an apocalyptic number.

261425001600 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 261425001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556706779200).

261425001600 is an abundant number, since it is smaller than the sum of its proper divisors (851988556800).

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

261425001600 is a wasteful number, since it uses less digits than its factorization.

261425001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 261425001600 its reverse (6100524162), we get a palindrome (267525525762).

The spelling of 261425001600 in words is "two hundred sixty-one billion, four hundred twenty-five million, one thousand, six hundred".