38585355900000 has 2304 divisors, whose sum is σ = 162559835504640. Its totient is φ = 7794662400000.

The previous prime is 38585355899941. The next prime is 38585355900001. The reversal of 38585355900000 is 955358583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38585355900001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 107480099821 + ... + 107480100179.

It is an arithmetic number, because the mean of its divisors is an integer number (70555484160).

Almost surely, 2^{38585355900000} is an apocalyptic number.

38585355900000 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 38585355900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81279917752320).

38585355900000 is an abundant number, since it is smaller than the sum of its proper divisors (123974479604640).

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

38585355900000 is a wasteful number, since it uses less digits than its factorization.

38585355900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 51.

The spelling of 38585355900000 in words is "thirty-eight trillion, five hundred eighty-five billion, three hundred fifty-five million, nine hundred thousand".