57513551040 has 896 divisors, whose sum is σ = 232260526080. Its totient is φ = 13436928000.

The previous prime is 57513551027. The next prime is 57513551077. The reversal of 57513551040 is 4015531575.

It is a happy number.

57513551040 is a `hidden beast` number, since 5 + 7 + 5 + 135 + 510 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57513550986 and 57513551004.

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 127 ways as a sum of consecutive naturals, for example, 238645320 + ... + 238645560.

Almost surely, 2^57513551040 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 57513551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116130263040).

57513551040 is an abundant number, since it is smaller than the sum of its proper divisors (174746975040).

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

57513551040 is a wasteful number, since it uses less digits than its factorization.

57513551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The spelling of 57513551040 in words is "fifty-seven billion, five hundred thirteen million, five hundred fifty-one thousand, forty".