10026382080 has 864 divisors, whose sum is σ = 40918590720. Its totient is φ = 2057011200.

The previous prime is 10026382073. The next prime is 10026382087. The reversal of 10026382080 is 8028362001.

It is an interprime number because it is at equal distance from previous prime (10026382073) and next prime (10026382087).

It is a super-2 number, since 2×10026382080² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10026382087) 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, 323431665 + ... + 323431695.

It is an arithmetic number, because the mean of its divisors is an integer number (47359480).

Almost surely, 2^10026382080 is an apocalyptic number.

10026382080 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 10026382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20459295360).

10026382080 is an abundant number, since it is smaller than the sum of its proper divisors (30892208640).

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

10026382080 is a wasteful number, since it uses less digits than its factorization.

10026382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 10026382080 in words is "ten billion, twenty-six million, three hundred eighty-two thousand, eighty".