38102198012820 has 288 divisors, whose sum is σ = 128943965404800. Its totient is φ = 9050601111552.

The previous prime is 38102198012819. The next prime is 38102198012849. The reversal of 38102198012820 is 2821089120183.

38102198012820 is a `hidden beast` number, since 3 + 81 + 0 + 219 + 80 + 1 + 282 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58338507 + ... + 58988013.

It is an arithmetic number, because the mean of its divisors is an integer number (447722102100).

Almost surely, 2^{38102198012820} is an apocalyptic number.

38102198012820 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 38102198012820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64471982702400).

38102198012820 is an abundant number, since it is smaller than the sum of its proper divisors (90841767391980).

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

38102198012820 is a wasteful number, since it uses less digits than its factorization.

38102198012820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650567 (or 650562 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 38102198012820 in words is "thirty-eight trillion, one hundred two billion, one hundred ninety-eight million, twelve thousand, eight hundred twenty".