57503470752 has 480 divisors, whose sum is σ = 209844480384. Its totient is φ = 15041894400.

The previous prime is 57503470697. The next prime is 57503470777. The reversal of 57503470752 is 25707430575.

57503470752 is a `hidden beast` number, since 5 + 7 + 503 + 4 + 70 + 75 + 2 = 666.

It is a super-2 number, since 2×57503470752² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57503470698 and 57503470707.

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 79 ways as a sum of consecutive naturals, for example, 30898302 + ... + 30900162.

Almost surely, 2^57503470752 is an apocalyptic number.

57503470752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57503470752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104922240192).

57503470752 is an abundant number, since it is smaller than the sum of its proper divisors (152341009632).

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

57503470752 is a wasteful number, since it uses less digits than its factorization.

57503470752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 1029000, while the sum is 45.

The spelling of 57503470752 in words is "fifty-seven billion, five hundred three million, four hundred seventy thousand, seven hundred fifty-two".