1625539968000 has 1408 divisors, whose sum is σ = 6554327619840. Its totient is φ = 394946150400.

The previous prime is 1625539967999. The next prime is 1625539968067. The reversal of 1625539968000 is 8699355261.

It is a happy number.

1625539968000 is a `hidden beast` number, since 1 + 6 + 2 + 553 + 9 + 9 + 6 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4358015814 + ... + 4358016186.

It is an arithmetic number, because the mean of its divisors is an integer number (4655062230).

Almost surely, 2^{1625539968000} is an apocalyptic number.

1625539968000 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 1625539968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277163809920).

1625539968000 is an abundant number, since it is smaller than the sum of its proper divisors (4928787651840).

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

1625539968000 is a wasteful number, since it uses less digits than its factorization.

1625539968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 1625539968000 in words is "one trillion, six hundred twenty-five billion, five hundred thirty-nine million, nine hundred sixty-eight thousand".