1990038153600 has 768 divisors, whose sum is σ = 8344340928000. Its totient is φ = 453722480640.

The previous prime is 1990038153539. The next prime is 1990038153659. The reversal of 1990038153600 is 63518300991.

1990038153600 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 0 + 38 + 1 + 5 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 253407274 + ... + 253415126.

It is an arithmetic number, because the mean of its divisors is an integer number (10865027250).

Almost surely, 2^{1990038153600} is an apocalyptic number.

1990038153600 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 1990038153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172170464000).

1990038153600 is an abundant number, since it is smaller than the sum of its proper divisors (6354302774400).

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

1990038153600 is a wasteful number, since it uses less digits than its factorization.

1990038153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312 (or 8289 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 1990038153600 in words is "one trillion, nine hundred ninety billion, thirty-eight million, one hundred fifty-three thousand, six hundred".