57431181336480 has 1920 divisors, whose sum is σ = 237940404387840. Its totient is φ = 12776806563840.

The previous prime is 57431181336457. The next prime is 57431181336491. The reversal of 57431181336480 is 8463318113475.

57431181336480 is a `hidden beast` number, since 5 + 7 + 4 + 3 + 118 + 13 + 36 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 257538929649 + ... + 257538929871.

It is an arithmetic number, because the mean of its divisors is an integer number (123927293952).

Almost surely, 2^{57431181336480} 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 57431181336480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118970202193920).

57431181336480 is an abundant number, since it is smaller than the sum of its proper divisors (180509223051360).

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

57431181336480 is a wasteful number, since it uses less digits than its factorization.

57431181336480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 57431181336480 in words is "fifty-seven trillion, four hundred thirty-one billion, one hundred eighty-one million, three hundred thirty-six thousand, four hundred eighty".