5920142592 has 576 divisors, whose sum is σ = 21098004480. Its totient is φ = 1430618112.

The previous prime is 5920142551. The next prime is 5920142593. The reversal of 5920142592 is 2952410295.

It is a super-2 number, since 2×5920142592² = 70096176619224956928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5920142592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5920142593) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 46615233 + ... + 46615359.

It is an arithmetic number, because the mean of its divisors is an integer number (36628480).

Almost surely, 2^5920142592 is an apocalyptic number.

5920142592 is a gapful number since it is divisible by the number (52) 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 5920142592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10549002240).

5920142592 is an abundant number, since it is smaller than the sum of its proper divisors (15177861888).

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

5920142592 is a wasteful number, since it uses less digits than its factorization.

5920142592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 5920142592 is about 76942.4628667422. The cubic root of 5920142592 is about 1809.0228634038.

The spelling of 5920142592 in words is "five billion, nine hundred twenty million, one hundred forty-two thousand, five hundred ninety-two".