262865126160 has 960 divisors, whose sum is σ = 1211067486720. Its totient is φ = 49447895040.

The previous prime is 262865126149. The next prime is 262865126189. The reversal of 262865126160 is 61621568262.

262865126160 is a `hidden beast` number, since 2 + 6 + 28 + 6 + 5 + 1 + 2 + 616 + 0 = 666.

It is a super-2 number, since 2×262865126160² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21156750 + ... + 21169170.

It is an arithmetic number, because the mean of its divisors is an integer number (1261528632).

Almost surely, 2^262865126160 is an apocalyptic number.

262865126160 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 262865126160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605533743360).

262865126160 is an abundant number, since it is smaller than the sum of its proper divisors (948202360560).

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

262865126160 is a wasteful number, since it uses less digits than its factorization.

262865126160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12496 (or 12487 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 262865126160 in words is "two hundred sixty-two billion, eight hundred sixty-five million, one hundred twenty-six thousand, one hundred sixty".