38111666503680 has 3360 divisors, whose sum is σ = 178735413661200. Its totient is φ = 7705271992320.

The previous prime is 38111666503679. The next prime is 38111666503697. The reversal of 38111666503680 is 8630566611183.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1030045040622 + ... + 1030045040658.

Almost surely, 2^{38111666503680} is an apocalyptic number.

38111666503680 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 38111666503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89367706830600).

38111666503680 is an abundant number, since it is smaller than the sum of its proper divisors (140623747157520).

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

38111666503680 is an frugal number, since it uses more digits than its factorization.

38111666503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 38111666503680 in words is "thirty-eight trillion, one hundred eleven billion, six hundred sixty-six million, five hundred three thousand, six hundred eighty".