38555208268800 has 132 divisors (see below), whose sum is σ = 127426971665976. Its totient is φ = 10281388851200.

The previous prime is 38555208268769. The next prime is 38555208268853. The reversal of 38555208268800 is 886280255583.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 11 ways as a sum of consecutive naturals, for example, 250933671 + ... + 251087270.

Almost surely, 2^{38555208268800} is an apocalyptic number.

38555208268800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38555208268800 is an abundant number, since it is smaller than the sum of its proper divisors (88871763397176).

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

38555208268800 is a wasteful number, since it uses less digits than its factorization.

38555208268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502020974 (or 502020951 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 60.

The spelling of 38555208268800 in words is "thirty-eight trillion, five hundred fifty-five billion, two hundred eight million, two hundred sixty-eight thousand, eight hundred".