1625023626912 has 576 divisors, whose sum is σ = 5641949376000. Its totient is φ = 453598838784.

The previous prime is 1625023626901. The next prime is 1625023626913. The reversal of 1625023626912 is 2196263205261.

1625023626912 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 0 + 2 + 3 + 626 + 9 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (1625023626913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 324418264 + ... + 324423272.

It is an arithmetic number, because the mean of its divisors is an integer number (9795051000).

Almost surely, 2^{1625023626912} is an apocalyptic number.

1625023626912 is a gapful number since it is divisible by the number (12) 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 1625023626912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820974688000).

1625023626912 is an abundant number, since it is smaller than the sum of its proper divisors (4016925749088).

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

1625023626912 is a wasteful number, since it uses less digits than its factorization.

1625023626912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5218 (or 5197 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1625023626912 in words is "one trillion, six hundred twenty-five billion, twenty-three million, six hundred twenty-six thousand, nine hundred twelve".