6250016000 has 144 divisors (see below), whose sum is σ = 16486863120. Its totient is φ = 2352742400.

The previous prime is 6250015991. The next prime is 6250016023. The reversal of 6250016000 is 6100526.

It can be written as a sum of positive squares in 8 ways, for example, as 2015650816 + 4234365184 = 44896^2 + 65072^2 .

It is a sliding number, since 6250016000 = 16000 + 6250000000 and 1/16000 + 1/6250000000 = 0.00006250016000.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538256 + ... + 549744.

It is an arithmetic number, because the mean of its divisors is an integer number (114492105).

Almost surely, 2^6250016000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6250016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8243431560).

6250016000 is an abundant number, since it is smaller than the sum of its proper divisors (10236847120).

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

6250016000 is a wasteful number, since it uses less digits than its factorization.

6250016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11537 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 6250016000 is about 79057.0426970298. The cubic root of 6250016000 is about 1842.0173211723.

Adding to 6250016000 its reverse (6100526), we get a palindrome (6256116526).

It can be divided in two parts, 62500 and 16000, that multiplied together give a 9-th power (1000000000 = 10⁹).

The spelling of 6250016000 in words is "six billion, two hundred fifty million, sixteen thousand".