53845799583744 has 2160 divisors, whose sum is σ = 201235515936000. Its totient is φ = 14302911135744.

The previous prime is 53845799583739. The next prime is 53845799583773. The reversal of 53845799583744 is 44738599754835.

53845799583744 is a `hidden beast` number, since 5 + 3 + 8 + 4 + 579 + 9 + 5 + 8 + 37 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 270581907357 + ... + 270581907555.

Almost surely, 2^{53845799583744} is an apocalyptic number.

53845799583744 is a gapful number since it is divisible by the number (54) 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 53845799583744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100617757968000).

53845799583744 is an abundant number, since it is smaller than the sum of its proper divisors (147389716352256).

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

53845799583744 is an equidigital number, since it uses as much as digits as its factorization.

53845799583744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 303 counting only the distinct ones).

The product of its digits is 18289152000, while the sum is 81.

The spelling of 53845799583744 in words is "fifty-three trillion, eight hundred forty-five billion, seven hundred ninety-nine million, five hundred eighty-three thousand, seven hundred forty-four".