57553030212480 has 3072 divisors, whose sum is σ = 242236996485120. Its totient is φ = 12431885598720.

The previous prime is 57553030212467. The next prime is 57553030212481. The reversal of 57553030212480 is 8421203035575.

57553030212480 is a `hidden beast` number, since 5 + 7 + 5 + 530 + 30 + 2 + 1 + 2 + 4 + 80 = 666.

57553030212480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57553030212481) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 420095110972 + ... + 420095111108.

It is an arithmetic number, because the mean of its divisors is an integer number (78853188960).

Almost surely, 2^{57553030212480} 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 57553030212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121118498242560).

57553030212480 is an abundant number, since it is smaller than the sum of its proper divisors (184683966272640).

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

57553030212480 is a wasteful number, since it uses less digits than its factorization.

57553030212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 57553030212480 in words is "fifty-seven trillion, five hundred fifty-three billion, thirty million, two hundred twelve thousand, four hundred eighty".