38755754311680 has 2560 divisors, whose sum is σ = 173946009600000. Its totient is φ = 7982498709504.

The previous prime is 38755754311669. The next prime is 38755754311721. The reversal of 38755754311680 is 8611345755783.

38755754311680 is a `hidden beast` number, since 3 + 8 + 7 + 5 + 5 + 7 + 543 + 1 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 216512593831 + ... + 216512594009.

It is an arithmetic number, because the mean of its divisors is an integer number (67947660000).

Almost surely, 2^{38755754311680} is an apocalyptic number.

38755754311680 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 38755754311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86973004800000).

38755754311680 is an abundant number, since it is smaller than the sum of its proper divisors (135190255288320).

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

38755754311680 is an equidigital number, since it uses as much as digits as its factorization.

38755754311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 38755754311680 in words is "thirty-eight trillion, seven hundred fifty-five billion, seven hundred fifty-four million, three hundred eleven thousand, six hundred eighty".