2625659089920 has 1056 divisors, whose sum is σ = 10254593556480. Its totient is φ = 641747681280.

The previous prime is 2625659089873. The next prime is 2625659089927. The reversal of 2625659089920 is 299809565262.

2625659089920 is a `hidden beast` number, since 2 + 62 + 565 + 9 + 0 + 8 + 9 + 9 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2625659089927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 732808449 + ... + 732812031.

Almost surely, 2^{2625659089920} is an apocalyptic number.

2625659089920 is a gapful number since it is divisible by the number (20) 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 2625659089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127296778240).

2625659089920 is an abundant number, since it is smaller than the sum of its proper divisors (7628934466560).

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

2625659089920 is a wasteful number, since it uses less digits than its factorization.

2625659089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 2625659089920 in words is "two trillion, six hundred twenty-five billion, six hundred fifty-nine million, eighty-nine thousand, nine hundred twenty".