57268146032640 has 624 divisors, whose sum is σ = 205039766670336. Its totient is φ = 14769428889600.

The previous prime is 57268146032639. The next prime is 57268146032641. The reversal of 57268146032640 is 4623064186275.

57268146032640 is a `hidden beast` number, since 5 + 7 + 2 + 6 + 8 + 1 + 4 + 603 + 26 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57268146032639) and next prime (57268146032641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57268146032641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15490435272 + ... + 15490438968.

It is an arithmetic number, because the mean of its divisors is an integer number (328589369664).

Almost surely, 2^{57268146032640} 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 57268146032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102519883335168).

57268146032640 is an abundant number, since it is smaller than the sum of its proper divisors (147771620637696).

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

57268146032640 is a wasteful number, since it uses less digits than its factorization.

57268146032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6474 (or 6449 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 57268146032640 in words is "fifty-seven trillion, two hundred sixty-eight billion, one hundred forty-six million, thirty-two thousand, six hundred forty".