53776823063040 has 7200 divisors, whose sum is σ = 272420960942592. Its totient is φ = 10055201587200.

The previous prime is 53776823062969. The next prime is 53776823063053. The reversal of 53776823063040 is 4036032867735.

53776823063040 is a `hidden beast` number, since 5 + 37 + 76 + 8 + 230 + 6 + 304 + 0 = 666.

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 719 ways as a sum of consecutive naturals, for example, 647913530839 + ... + 647913530921.

Almost surely, 2^{53776823063040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53776823063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136210480471296).

53776823063040 is an abundant number, since it is smaller than the sum of its proper divisors (218644137879552).

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

53776823063040 is a wasteful number, since it uses less digits than its factorization.

53776823063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 53776823063040 in words is "fifty-three trillion, seven hundred seventy-six billion, eight hundred twenty-three million, sixty-three thousand, forty".