38266988760000 has 8960 divisors, whose sum is σ = 209879057203200. Its totient is φ = 6651279360000.

The previous prime is 38266988759999. The next prime is 38266988760053. The reversal of 38266988760000 is 6788966283.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38266988760000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 1663782119989 + ... + 1663782120011.

It is an arithmetic number, because the mean of its divisors is an integer number (23424001920).

Almost surely, 2^{38266988760000} is an apocalyptic number.

38266988760000 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 38266988760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104939528601600).

38266988760000 is an abundant number, since it is smaller than the sum of its proper divisors (171612068443200).

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

38266988760000 is a wasteful number, since it uses less digits than its factorization.

38266988760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 38266988760000 in words is "thirty-eight trillion, two hundred sixty-six billion, nine hundred eighty-eight million, seven hundred sixty thousand".