53771870880 has 1296 divisors, whose sum is σ = 241423188552. Its totient is φ = 10799308800.

The previous prime is 53771870863. The next prime is 53771870891. The reversal of 53771870880 is 8807817735.

It can be written as a sum of positive squares in 4 ways, for example, as 17636902416 + 36134968464 = 132804^2 + 190092^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 215 ways as a sum of consecutive naturals, for example, 881506050 + ... + 881506110.

Almost surely, 2^53771870880 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 53771870880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120711594276).

53771870880 is an abundant number, since it is smaller than the sum of its proper divisors (187651317672).

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

53771870880 is a wasteful number, since it uses less digits than its factorization.

53771870880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 53771870880 in words is "fifty-three billion, seven hundred seventy-one million, eight hundred seventy thousand, eight hundred eighty".