57553929216 has 825 divisors, whose sum is σ = 212987785109. Its totient is φ = 15476686848.

The previous prime is 57553929157. The next prime is 57553929217. The reversal of 57553929216 is 61292935575.

The square root of 57553929216 is 239904.

It is a perfect power (a square), and thus also a powerful number.

57553929216 is a `hidden beast` number, since 5 + 7 + 5 + 539 + 2 + 92 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44808422400 + 12745506816 = 211680^2 + 112896^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57553929217) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 3385525240 + ... + 3385525256.

Almost surely, 2^57553929216 is an apocalyptic number.

57553929216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

57553929216 is the 239904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57553929216

57553929216 is an abundant number, since it is smaller than the sum of its proper divisors (155433855893).

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

57553929216 is an frugal number, since it uses more digits than its factorization.

57553929216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 29 counting only the distinct ones).

The product of its digits is 5103000, while the sum is 54.

The spelling of 57553929216 in words is "fifty-seven billion, five hundred fifty-three million, nine hundred twenty-nine thousand, two hundred sixteen".