57041268480 has 324 divisors, whose sum is σ = 229580645112. Its totient is φ = 13037875200.

The previous prime is 57041268451. The next prime is 57041268509. The reversal of 57041268480 is 8486214075.

57041268480 is a `hidden beast` number, since 5 + 70 + 41 + 2 + 68 + 480 = 666.

57041268480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57041268451) and next prime (57041268509).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 513955 + ... + 615005.

It is an arithmetic number, because the mean of its divisors is an integer number (708582238).

Almost surely, 2^57041268480 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 57041268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114790322556).

57041268480 is an abundant number, since it is smaller than the sum of its proper divisors (172539376632).

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

57041268480 is a wasteful number, since it uses less digits than its factorization.

57041268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101092 (or 101068 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 57041268480 in words is "fifty-seven billion, forty-one million, two hundred sixty-eight thousand, four hundred eighty".