6255083520 has 544 divisors, whose sum is σ = 25668944640. Its totient is φ = 1415577600.

The previous prime is 6255083503. The next prime is 6255083551. The reversal of 6255083520 is 253805526.

It is a happy number.

6255083520 is a `hidden beast` number, since 6 + 2 + 5 + 50 + 83 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61931470 + ... + 61931570.

It is an arithmetic number, because the mean of its divisors is an integer number (47185560).

Almost surely, 2^6255083520 is an apocalyptic number.

6255083520 is a gapful number since it is divisible by the number (60) 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 6255083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12834472320).

6255083520 is an abundant number, since it is smaller than the sum of its proper divisors (19413861120).

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

6255083520 is an equidigital number, since it uses as much as digits as its factorization.

6255083520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 6255083520 is about 79089.0859727181. The cubic root of 6255083520 is about 1842.5150232557.

It can be divided in two parts, 62550 and 83520, that added together give a triangular number (146070 = T₅₄₀).

The spelling of 6255083520 in words is "six billion, two hundred fifty-five million, eighty-three thousand, five hundred twenty".