57753654480 has 140 divisors (see below), whose sum is σ = 201323976420. Its totient is φ = 15400958976.

The previous prime is 57753654467. The next prime is 57753654587. The reversal of 57753654480 is 8445635775.

57753654480 is a `hidden beast` number, since 57 + 7 + 53 + 65 + 4 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17876759616 + 39876894864 = 133704^2 + 199692^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 436825 + ... + 553464.

It is an arithmetic number, because the mean of its divisors is an integer number (1438028403).

Almost surely, 2^57753654480 is an apocalyptic number.

It is an amenable number.

57753654480 is an abundant number, since it is smaller than the sum of its proper divisors (143570321940).

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

57753654480 is an equidigital number, since it uses as much as digits as its factorization.

57753654480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990320 (or 990299 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 57753654480 in words is "fifty-seven billion, seven hundred fifty-three million, six hundred fifty-four thousand, four hundred eighty".