10078585920 has 448 divisors, whose sum is σ = 38944174080. Its totient is φ = 2438553600.

The previous prime is 10078585883. The next prime is 10078585921. The reversal of 10078585920 is 2958587001.

It is a happy number.

10078585920 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 8 + 58 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10078585921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6850785 + ... + 6852255.

It is an arithmetic number, because the mean of its divisors is an integer number (86928960).

Almost surely, 2^10078585920 is an apocalyptic number.

10078585920 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 10078585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19472087040).

10078585920 is an abundant number, since it is smaller than the sum of its proper divisors (28865588160).

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

10078585920 is a wasteful number, since it uses less digits than its factorization.

10078585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 10078585920 in words is "ten billion, seventy-eight million, five hundred eighty-five thousand, nine hundred twenty".