57290338063440 has 280 divisors, whose sum is σ = 199727033223168. Its totient is φ = 15276020739840.

The previous prime is 57290338063391. The next prime is 57290338063451. The reversal of 57290338063440 is 4436083309275.

57290338063440 is a `hidden beast` number, since 5 + 7 + 2 + 90 + 33 + 80 + 6 + 3 + 440 = 666.

57290338063440 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 (54).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 738933957 + ... + 739011483.

Almost surely, 2^{57290338063440} 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 57290338063440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99863516611584).

57290338063440 is an abundant number, since it is smaller than the sum of its proper divisors (142436695159728).

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

57290338063440 is a wasteful number, since it uses less digits than its factorization.

57290338063440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90229 (or 90208 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 57290338063440 in words is "fifty-seven trillion, two hundred ninety billion, three hundred thirty-eight million, sixty-three thousand, four hundred forty".