53758817280 has 792 divisors, whose sum is σ = 224429722920. Its totient is φ = 11849564160.

The previous prime is 53758817261. The next prime is 53758817291. The reversal of 53758817280 is 8271885735.

53758817280 is a `hidden beast` number, since 5 + 37 + 588 + 1 + 7 + 28 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2472873984 + 51285943296 = 49728^2 + 226464^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65479270 + ... + 65480090.

Almost surely, 2^53758817280 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 53758817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112214861460).

53758817280 is an abundant number, since it is smaller than the sum of its proper divisors (170670905640).

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

53758817280 is a wasteful number, since it uses less digits than its factorization.

53758817280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 53758817280 in words is "fifty-three billion, seven hundred fifty-eight million, eight hundred seventeen thousand, two hundred eighty".