53738380800 has 840 divisors, whose sum is σ = 215460912744. Its totient is φ = 13198049280.

The previous prime is 53738380747. The next prime is 53738380811. The reversal of 53738380800 is 808383735.

It is a happy number.

53738380800 is a `hidden beast` number, since 537 + 3 + 8 + 38 + 0 + 80 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 121305379 + ... + 121305821.

Almost surely, 2^53738380800 is an apocalyptic number.

53738380800 is a gapful number since it is divisible by the number (50) 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 53738380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107730456372).

53738380800 is an abundant number, since it is smaller than the sum of its proper divisors (161722531944).

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

53738380800 is an equidigital number, since it uses as much as digits as its factorization.

53738380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 53738380800 in words is "fifty-three billion, seven hundred thirty-eight million, three hundred eighty thousand, eight hundred".