57752196480 has 1024 divisors, whose sum is σ = 235102003200. Its totient is φ = 13548902400.

The previous prime is 57752196431. The next prime is 57752196487. The reversal of 57752196480 is 8469125775.

57752196480 is a `hidden beast` number, since 5 + 7 + 75 + 2 + 1 + 96 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57752196487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1862974065 + ... + 1862974095.

It is an arithmetic number, because the mean of its divisors is an integer number (229591800).

Almost surely, 2^57752196480 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 57752196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117551001600).

57752196480 is an abundant number, since it is smaller than the sum of its proper divisors (177349806720).

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

57752196480 is an frugal number, since it uses more digits than its factorization.

57752196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 57752196480 in words is "fifty-seven billion, seven hundred fifty-two million, one hundred ninety-six thousand, four hundred eighty".