10024058880 has 544 divisors, whose sum is σ = 39258385920. Its totient is φ = 2406481920.

The previous prime is 10024058867. The next prime is 10024058899. The reversal of 10024058880 is 8885042001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97320909 + ... + 97321011.

Almost surely, 2^10024058880 is an apocalyptic number.

10024058880 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 10024058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19629192960).

10024058880 is an abundant number, since it is smaller than the sum of its proper divisors (29234327040).

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

10024058880 is an equidigital number, since it uses as much as digits as its factorization.

10024058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 10024058880 in words is "ten billion, twenty-four million, fifty-eight thousand, eight hundred eighty".