10031662080 has 528 divisors, whose sum is σ = 39377467584. Its totient is φ = 2428600320.

The previous prime is 10031662061. The next prime is 10031662099. The reversal of 10031662080 is 8026613001.

10031662080 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 6 + 620 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10031662061) and next prime (10031662099).

It is a tau number, because it is divible by the number of its divisors (528).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13685394 + ... + 13686126.

Almost surely, 2^10031662080 is an apocalyptic number.

10031662080 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 10031662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19688733792).

10031662080 is an abundant number, since it is smaller than the sum of its proper divisors (29345805504).

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

10031662080 is an equidigital number, since it uses as much as digits as its factorization.

10031662080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10031662080 in words is "ten billion, thirty-one million, six hundred sixty-two thousand, eighty".