57002028652800 has 4536 divisors, whose sum is σ = 282808970004960. Its totient is φ = 11211772723200.

The previous prime is 57002028652753. The next prime is 57002028652859. The reversal of 57002028652800 is 825682020075.

57002028652800 is a `hidden beast` number, since 5 + 70 + 0 + 20 + 286 + 5 + 280 + 0 = 666.

57002028652800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4536).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 47780409004 + ... + 47780410196.

Almost surely, 2^{57002028652800} is an apocalyptic number.

57002028652800 is a gapful number since it is divisible by the number (50) 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 57002028652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141404485002480).

57002028652800 is an abundant number, since it is smaller than the sum of its proper divisors (225806941352160).

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

57002028652800 is a wasteful number, since it uses less digits than its factorization.

57002028652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1240 counting only the distinct ones).

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

The spelling of 57002028652800 in words is "fifty-seven trillion, two billion, twenty-eight million, six hundred fifty-two thousand, eight hundred".