38209255875 has 128 divisors (see below), whose sum is σ = 80936294400. Its totient is φ = 17423942400.

The previous prime is 38209255817. The next prime is 38209255883. The reversal of 38209255875 is 57855290283.

38209255875 is a `hidden beast` number, since 3 + 82 + 0 + 9 + 2 + 558 + 7 + 5 = 666.

It is not a de Polignac number, because 38209255875 - 2⁹ = 38209255363 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10794856 + ... + 10798394.

It is an arithmetic number, because the mean of its divisors is an integer number (632314800).

Almost surely, 2^38209255875 is an apocalyptic number.

38209255875 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38209255875 is an abundant number, since it is smaller than the sum of its proper divisors (42727038525).

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

38209255875 is a wasteful number, since it uses less digits than its factorization.

38209255875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 38209255875 in words is "thirty-eight billion, two hundred nine million, two hundred fifty-five thousand, eight hundred seventy-five".