38505641107500 has 360 divisors, whose sum is σ = 139238398274976. Its totient is φ = 8786426112000.

The previous prime is 38505641107403. The next prime is 38505641107613. The reversal of 38505641107500 is 570114650583.

38505641107500 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 564 + 1 + 10 + 75 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 93191362 + ... + 93603638.

Almost surely, 2^{38505641107500} is an apocalyptic number.

38505641107500 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 38505641107500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69619199137488).

38505641107500 is an abundant number, since it is smaller than the sum of its proper divisors (100732757167476).

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

38505641107500 is a wasteful number, since it uses less digits than its factorization.

38505641107500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412907 (or 412887 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 38505641107500 in words is "thirty-eight trillion, five hundred five billion, six hundred forty-one million, one hundred seven thousand, five hundred".