10358872020 has 288 divisors, whose sum is σ = 37638881280. Its totient is φ = 2254728960.

The previous prime is 10358871977. The next prime is 10358872039. The reversal of 10358872020 is 2027885301.

10358872020 is a `hidden beast` number, since 1 + 0 + 3 + 588 + 72 + 0 + 2 + 0 = 666.

It is a super-3 number, since 3×10358872020³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7852921 + ... + 7854239.

It is an arithmetic number, because the mean of its divisors is an integer number (130690560).

Almost surely, 2^10358872020 is an apocalyptic number.

10358872020 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 10358872020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18819440640).

10358872020 is an abundant number, since it is smaller than the sum of its proper divisors (27280009260).

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

10358872020 is a wasteful number, since it uses less digits than its factorization.

10358872020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10358872020 in words is "ten billion, three hundred fifty-eight million, eight hundred seventy-two thousand, twenty".