57649812480 has 1320 divisors, whose sum is σ = 242719389528. Its totient is φ = 12995002368.

The previous prime is 57649812469. The next prime is 57649812481. The reversal of 57649812480 is 8421894675.

It is a happy number.

57649812480 is a `hidden beast` number, since 5 + 7 + 64 + 98 + 12 + 480 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1059111936 + 56590700544 = 32544^2 + 237888^2 .

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 (57649812481) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 1558103022 + ... + 1558103058.

Almost surely, 2^57649812480 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 57649812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121359694764).

57649812480 is an abundant number, since it is smaller than the sum of its proper divisors (185069577048).

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

57649812480 is a wasteful number, since it uses less digits than its factorization.

57649812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 57649812480 in words is "fifty-seven billion, six hundred forty-nine million, eight hundred twelve thousand, four hundred eighty".