1625727488000 has 1248 divisors, whose sum is σ = 5307003681408. Its totient is φ = 491323392000.

The previous prime is 1625727487999. The next prime is 1625727488003. The reversal of 1625727488000 is 8847275261.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 1625727488000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1625727488003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11866623932 + ... + 11866624068.

It is an arithmetic number, because the mean of its divisors is an integer number (4252406796).

Almost surely, 2^{1625727488000} is an apocalyptic number.

1625727488000 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 1625727488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653501840704).

1625727488000 is an abundant number, since it is smaller than the sum of its proper divisors (3681276193408).

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

1625727488000 is a wasteful number, since it uses less digits than its factorization.

1625727488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 50.

The spelling of 1625727488000 in words is "one trillion, six hundred twenty-five billion, seven hundred twenty-seven million, four hundred eighty-eight thousand".