1625554056960 has 864 divisors, whose sum is σ = 6142411154880. Its totient is φ = 395304763392.

The previous prime is 1625554056937. The next prime is 1625554056961. The reversal of 1625554056960 is 696504555261.

It is a happy number.

1625554056960 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 5 + 540 + 5 + 6 + 96 + 0 = 666.

It is a super-2 number, since 2×1625554056960² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1625554056897 and 1625554056906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1625554056961) 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, 1153692736 + ... + 1153694144.

It is an arithmetic number, because the mean of its divisors is an integer number (7109272170).

Almost surely, 2^{1625554056960} is an apocalyptic number.

1625554056960 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 1625554056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071205577440).

1625554056960 is an abundant number, since it is smaller than the sum of its proper divisors (4516857097920).

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

1625554056960 is a wasteful number, since it uses less digits than its factorization.

1625554056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 1625554056960 in words is "one trillion, six hundred twenty-five billion, five hundred fifty-four million, fifty-six thousand, nine hundred sixty".