1625110080 has 224 divisors, whose sum is σ = 5874398208. Its totient is φ = 376780800.

The previous prime is 1625110079. The next prime is 1625110133. The reversal of 1625110080 is 800115261.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1625110080.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 239535 + ... + 246225.

It is an arithmetic number, because the mean of its divisors is an integer number (26224992).

Almost surely, 2^1625110080 is an apocalyptic number.

1625110080 is a gapful number since it is divisible by the number (10) 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 1625110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937199104).

1625110080 is an abundant number, since it is smaller than the sum of its proper divisors (4249288128).

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

1625110080 is a wasteful number, since it uses less digits than its factorization.

1625110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6745 (or 6735 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 1625110080 is about 40312.6540927287. The cubic root of 1625110080 is about 1175.6938904325.

The spelling of 1625110080 in words is "one billion, six hundred twenty-five million, one hundred ten thousand, eighty".