1625482335120 has 240 divisors, whose sum is σ = 5867374106880. Its totient is φ = 371178436608.

The previous prime is 1625482335107. The next prime is 1625482335121. The reversal of 1625482335120 is 215332845261.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1625482335121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12152124 + ... + 12285156.

It is an arithmetic number, because the mean of its divisors is an integer number (24447392112).

Almost surely, 2^{1625482335120} is an apocalyptic number.

1625482335120 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 1625482335120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933687053440).

1625482335120 is an abundant number, since it is smaller than the sum of its proper divisors (4241891771760).

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

1625482335120 is a wasteful number, since it uses less digits than its factorization.

1625482335120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134102 (or 134089 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 1625482335120 in words is "one trillion, six hundred twenty-five billion, four hundred eighty-two million, three hundred thirty-five thousand, one hundred twenty".