260106260400 has 1200 divisors, whose sum is σ = 1105134624000. Its totient is φ = 57358264320.

The previous prime is 260106260387. The next prime is 260106260537. The reversal of 260106260400 is 4062601062.

It is a happy number.

260106260400 is a `hidden beast` number, since 26 + 0 + 10 + 626 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1453107511 + ... + 1453107689.

It is an arithmetic number, because the mean of its divisors is an integer number (920945520).

Almost surely, 2^260106260400 is an apocalyptic number.

260106260400 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 260106260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552567312000).

260106260400 is an abundant number, since it is smaller than the sum of its proper divisors (845028363600).

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

260106260400 is a wasteful number, since it uses less digits than its factorization.

260106260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 260106260400 its reverse (4062601062), we get a palindrome (264168861462).

The spelling of 260106260400 in words is "two hundred sixty billion, one hundred six million, two hundred sixty thousand, four hundred".