1625565561984 has 576 divisors, whose sum is σ = 5988605313600. Its totient is φ = 413927055360.

The previous prime is 1625565561973. The next prime is 1625565562001. The reversal of 1625565561984 is 4891655655261.

1625565561984 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 5 + 6 + 5 + 5 + 619 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39501099 + ... + 39542229.

It is an arithmetic number, because the mean of its divisors is an integer number (10396884225).

Almost surely, 2^{1625565561984} is an apocalyptic number.

1625565561984 is a gapful number since it is divisible by the number (14) 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 1625565561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994302656800).

1625565561984 is an abundant number, since it is smaller than the sum of its proper divisors (4363039751616).

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

1625565561984 is a wasteful number, since it uses less digits than its factorization.

1625565561984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41213 (or 41185 counting only the distinct ones).

The product of its digits is 77760000, while the sum is 63.

The spelling of 1625565561984 in words is "one trillion, six hundred twenty-five billion, five hundred sixty-five million, five hundred sixty-one thousand, nine hundred eighty-four".