10280020608 has 768 divisors, whose sum is σ = 37680921600. Its totient is φ = 2737152000.

The previous prime is 10280020607. The next prime is 10280020631. The reversal of 10280020608 is 80602008201.

10280020608 is a `hidden beast` number, since 10 + 28 + 0 + 0 + 20 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10280020607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168524898 + ... + 168524958.

It is an arithmetic number, because the mean of its divisors is an integer number (49063700).

Almost surely, 2^10280020608 is an apocalyptic number.

10280020608 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 10280020608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18840460800).

10280020608 is an abundant number, since it is smaller than the sum of its proper divisors (27400900992).

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

10280020608 is a wasteful number, since it uses less digits than its factorization.

10280020608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10280020608 its reverse (80602008201), we get a palindrome (90882028809).

The spelling of 10280020608 in words is "ten billion, two hundred eighty million, twenty thousand, six hundred eight".