10065420288 has 560 divisors, whose sum is σ = 37680375744. Its totient is φ = 2601123840.

The previous prime is 10065420247. The next prime is 10065420347. The reversal of 10065420288 is 88202456001.

10065420288 is a `hidden beast` number, since 100 + 6 + 542 + 0 + 2 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51093406 + ... + 51093602.

Almost surely, 2^10065420288 is an apocalyptic number.

10065420288 is a gapful number since it is divisible by the number (18) 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 10065420288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18840187872).

10065420288 is an abundant number, since it is smaller than the sum of its proper divisors (27614955456).

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

10065420288 is an equidigital number, since it uses as much as digits as its factorization.

10065420288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 10065420288 its reverse (88202456001), we get a palindrome (98267876289).

The spelling of 10065420288 in words is "ten billion, sixty-five million, four hundred twenty thousand, two hundred eighty-eight".