2638552725900 has 1728 divisors, whose sum is σ = 11210482483200. Its totient is φ = 503578736640.

The previous prime is 2638552725863. The next prime is 2638552725901. The reversal of 2638552725900 is 95272558362.

It is a happy number.

2638552725900 is a `hidden beast` number, since 2 + 6 + 3 + 8 + 5 + 527 + 25 + 90 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2638552725901) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3144877681 + ... + 3144878519.

Almost surely, 2^{2638552725900} is an apocalyptic number.

2638552725900 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 2638552725900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605241241600).

2638552725900 is an abundant number, since it is smaller than the sum of its proper divisors (8571929757300).

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

2638552725900 is a wasteful number, since it uses less digits than its factorization.

2638552725900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 2638552725900 in words is "two trillion, six hundred thirty-eight billion, five hundred fifty-two million, seven hundred twenty-five thousand, nine hundred".