57883124662272 has 3072 divisors, whose sum is σ = 233915382005760. Its totient is φ = 13869489586176.

The previous prime is 57883124662271. The next prime is 57883124662291. The reversal of 57883124662272 is 27226642138875.

It is a happy number.

57883124662272 is a `hidden beast` number, since 5 + 7 + 8 + 8 + 312 + 46 + 6 + 2 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×57883124662272² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57883124662271) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 455772635073 + ... + 455772635199.

It is an arithmetic number, because the mean of its divisors is an integer number (76144330080).

Almost surely, 2^{57883124662272} is an apocalyptic number.

57883124662272 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 57883124662272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116957691002880).

57883124662272 is an abundant number, since it is smaller than the sum of its proper divisors (176032257343488).

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

57883124662272 is a wasteful number, since it uses less digits than its factorization.

57883124662272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 206 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 57883124662272 in words is "fifty-seven trillion, eight hundred eighty-three billion, one hundred twenty-four million, six hundred sixty-two thousand, two hundred seventy-two".