38827550229600 has 576 divisors, whose sum is σ = 143889855459840. Its totient is φ = 9007715942400.

The previous prime is 38827550229547. The next prime is 38827550229647. The reversal of 38827550229600 is 692205572883.

It is a happy number.

It is a super-2 number, since 2×38827550229600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86288397 + ... + 86737203.

It is an arithmetic number, because the mean of its divisors is an integer number (249808776840).

Almost surely, 2^{38827550229600} is an apocalyptic number.

38827550229600 is a gapful number since it is divisible by the number (30) 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 38827550229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71944927729920).

38827550229600 is an abundant number, since it is smaller than the sum of its proper divisors (105062305230240).

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

38827550229600 is a wasteful number, since it uses less digits than its factorization.

38827550229600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448983 (or 448970 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 38827550229600 in words is "thirty-eight trillion, eight hundred twenty-seven billion, five hundred fifty million, two hundred twenty-nine thousand, six hundred".