7825144050 has 192 divisors, whose sum is σ = 22086086400. Its totient is φ = 2036620800.

The previous prime is 7825144043. The next prime is 7825144051. The reversal of 7825144050 is 504415287.

It is a super-2 number, since 2×7825144050² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7825143996 and 7825144014.

It is not an unprimeable number, because it can be changed into a prime (7825144051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13752166 + ... + 13752734.

It is an arithmetic number, because the mean of its divisors is an integer number (115031700).

Almost surely, 2^7825144050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7825144050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11043043200).

7825144050 is an abundant number, since it is smaller than the sum of its proper divisors (14260942350).

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

7825144050 is a wasteful number, since it uses less digits than its factorization.

7825144050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 7825144050 is about 88459.8442797635. The cubic root of 7825144050 is about 1985.3212008273.

The spelling of 7825144050 in words is "seven billion, eight hundred twenty-five million, one hundred forty-four thousand, fifty".