10074301920 has 288 divisors, whose sum is σ = 35168515200. Its totient is φ = 2625334272.

The previous prime is 10074301901. The next prime is 10074301931. The reversal of 10074301920 is 2910347001.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24043471 + ... + 24043889.

It is an arithmetic number, because the mean of its divisors is an integer number (122112900).

Almost surely, 2^10074301920 is an apocalyptic number.

10074301920 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 10074301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17584257600).

10074301920 is an abundant number, since it is smaller than the sum of its proper divisors (25094213280).

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

10074301920 is a wasteful number, since it uses less digits than its factorization.

10074301920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 10074301920 its reverse (2910347001), we get a palindrome (12984648921).

The spelling of 10074301920 in words is "ten billion, seventy-four million, three hundred one thousand, nine hundred twenty".