260893006920 has 960 divisors, whose sum is σ = 1112487203520. Its totient is φ = 54346650624.

The previous prime is 260893006897. The next prime is 260893006921. The reversal of 260893006920 is 29600398062.

260893006920 is a `hidden beast` number, since 2 + 608 + 9 + 30 + 0 + 6 + 9 + 2 + 0 = 666.

260893006920 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×260893006920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (260893006921) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 171301279 + ... + 171302801.

It is an arithmetic number, because the mean of its divisors is an integer number (1158840837).

Almost surely, 2^260893006920 is an apocalyptic number.

260893006920 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 260893006920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556243601760).

260893006920 is an abundant number, since it is smaller than the sum of its proper divisors (851594196600).

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

260893006920 is a wasteful number, since it uses less digits than its factorization.

260893006920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 260893006920 in words is "two hundred sixty billion, eight hundred ninety-three million, six thousand, nine hundred twenty".