8053059840 has 432 divisors, whose sum is σ = 30243612672. Its totient is φ = 1820786688.

The previous prime is 8053059827. The next prime is 8053059857. The reversal of 8053059840 is 489503508.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8053059792 and 8053059801.

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, 23896152 + ... + 23896488.

Almost surely, 2^8053059840 is an apocalyptic number.

8053059840 is a gapful number since it is divisible by the number (80) 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 8053059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15121806336).

8053059840 is an abundant number, since it is smaller than the sum of its proper divisors (22190552832).

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

8053059840 is a wasteful number, since it uses less digits than its factorization.

8053059840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 8053059840 is about 89738.8424262315. The cubic root of 8053059840 is about 2004.4119136857.

The spelling of 8053059840 in words is "eight billion, fifty-three million, fifty-nine thousand, eight hundred forty".