2038563555840 has 1280 divisors, whose sum is σ = 8870586531840. Its totient is φ = 433564876800.

The previous prime is 2038563555839. The next prime is 2038563555859. The reversal of 2038563555840 is 485553658302.

It is a happy number.

2038563555840 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 5 + 6 + 3 + 55 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

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 127 ways as a sum of consecutive naturals, for example, 411745365 + ... + 411750315.

It is an arithmetic number, because the mean of its divisors is an integer number (6930145728).

Almost surely, 2^{2038563555840} is an apocalyptic number.

2038563555840 is a gapful number since it is divisible by the number (20) 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 2038563555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435293265920).

2038563555840 is an abundant number, since it is smaller than the sum of its proper divisors (6832022976000).

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

2038563555840 is a wasteful number, since it uses less digits than its factorization.

2038563555840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 2038563555840 in words is "two trillion, thirty-eight billion, five hundred sixty-three million, five hundred fifty-five thousand, eight hundred forty".