1625280000 has 200 divisors, whose sum is σ = 5413773288. Its totient is φ = 433152000.

The previous prime is 1625279983. The next prime is 1625280029. The reversal of 1625280000 is 825261.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959154 + ... + 960846.

Almost surely, 2^1625280000 is an apocalyptic number.

1625280000 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 1625280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706886644).

1625280000 is an abundant number, since it is smaller than the sum of its proper divisors (3788493288).

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

1625280000 is an frugal number, since it uses more digits than its factorization.

1625280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1625280000 is about 40314.7615644692. The cubic root of 1625280000 is about 1175.7348654913.

It can be divided in two parts, 1625 and 280000, that added together give a triangular number (281625 = T₇₅₀).

The spelling of 1625280000 in words is "one billion, six hundred twenty-five million, two hundred eighty thousand".