57013102158480 has 1280 divisors, whose sum is σ = 219897925632000. Its totient is φ = 13487570288640.

The previous prime is 57013102158473. The next prime is 57013102158499. The reversal of 57013102158480 is 8485120131075.

57013102158480 is a `hidden beast` number, since 5 + 7 + 0 + 1 + 3 + 10 + 2 + 158 + 480 = 666.

57013102158480 is digitally balanced in base 2 and base 6, because in such bases 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 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 255 ways as a sum of consecutive naturals, for example, 21785670132 + ... + 21785672748.

It is an arithmetic number, because the mean of its divisors is an integer number (171795254400).

Almost surely, 2^{57013102158480} 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 57013102158480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109948962816000).

57013102158480 is an abundant number, since it is smaller than the sum of its proper divisors (162884823473520).

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

57013102158480 is a wasteful number, since it uses less digits than its factorization.

57013102158480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 57013102158480 in words is "fifty-seven trillion, thirteen billion, one hundred two million, one hundred fifty-eight thousand, four hundred eighty".