57148382520 has 512 divisors, whose sum is σ = 210161952000. Its totient is φ = 13748797440.

The previous prime is 57148382519. The next prime is 57148382561. The reversal of 57148382520 is 2528384175.

57148382520 is a `hidden beast` number, since 5 + 7 + 1 + 48 + 3 + 82 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96371344 + ... + 96371936.

Almost surely, 2^57148382520 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 57148382520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105080976000).

57148382520 is an abundant number, since it is smaller than the sum of its proper divisors (153013569480).

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

57148382520 is a wasteful number, since it uses less digits than its factorization.

57148382520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 57148382520 in words is "fifty-seven billion, one hundred forty-eight million, three hundred eighty-two thousand, five hundred twenty".