57834343492560 has 480 divisors, whose sum is σ = 204246154195200. Its totient is φ = 14645651005440.

The previous prime is 57834343492517. The next prime is 57834343492621. The reversal of 57834343492560 is 6529434343875.

57834343492560 is a `hidden beast` number, since 5 + 7 + 8 + 3 + 4 + 34 + 34 + 9 + 2 + 560 = 666.

It is a super-2 number, since 2×57834343492560² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 547149315 + ... + 547255005.

It is an arithmetic number, because the mean of its divisors is an integer number (425512821240).

Almost surely, 2^{57834343492560} 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 57834343492560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102123077097600).

57834343492560 is an abundant number, since it is smaller than the sum of its proper divisors (146411810702640).

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

57834343492560 is a wasteful number, since it uses less digits than its factorization.

57834343492560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106171 (or 106162 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 57834343492560 in words is "fifty-seven trillion, eight hundred thirty-four billion, three hundred forty-three million, four hundred ninety-two thousand, five hundred sixty".