10038821760000 has 2640 divisors, whose sum is σ = 43096024857600. Its totient is φ = 2222899200000.

The previous prime is 10038821759983. The next prime is 10038821760007. The reversal of 10038821760000 is 6712883001.

10038821760000 is a `hidden beast` number, since 1 + 0 + 0 + 38 + 8 + 2 + 17 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10038821760007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37319039866 + ... + 37319040134.

It is an arithmetic number, because the mean of its divisors is an integer number (16324251840).

Almost surely, 2^{10038821760000} is an apocalyptic number.

10038821760000 is a gapful number since it is divisible by the number (10) 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 10038821760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21548012428800).

10038821760000 is an abundant number, since it is smaller than the sum of its proper divisors (33057203097600).

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

10038821760000 is a wasteful number, since it uses less digits than its factorization.

10038821760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10038821760000 in words is "ten trillion, thirty-eight billion, eight hundred twenty-one million, seven hundred sixty thousand".