10007017020 has 1152 divisors, whose sum is σ = 45121370112. Its totient is φ = 1806520320.

The previous prime is 10007016991. The next prime is 10007017051. The reversal of 10007017020 is 2071070001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10007016984 and 10007017002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 588648052 + ... + 588648068.

It is an arithmetic number, because the mean of its divisors is an integer number (39167856).

Almost surely, 2^10007017020 is an apocalyptic number.

10007017020 is a gapful number since it is divisible by the number (10) 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 10007017020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22560685056).

10007017020 is an abundant number, since it is smaller than the sum of its proper divisors (35114353092).

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

10007017020 is a wasteful number, since it uses less digits than its factorization.

10007017020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

Adding to 10007017020 its reverse (2071070001), we get a palindrome (12078087021).

The spelling of 10007017020 in words is "ten billion, seven million, seventeen thousand, twenty".