57834968520420 has 1728 divisors, whose sum is σ = 229169219715072. Its totient is φ = 11492007321600.

The previous prime is 57834968520377. The next prime is 57834968520449. The reversal of 57834968520420 is 2402586943875.

57834968520420 is a `hidden beast` number, since 5 + 7 + 8 + 3 + 4 + 9 + 68 + 520 + 42 + 0 = 666.

It is a super-3 number, since 3×57834968520420³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 151005139549 + ... + 151005139931.

It is an arithmetic number, because the mean of its divisors is an integer number (132621076224).

Almost surely, 2^{57834968520420} 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 57834968520420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114584609857536).

57834968520420 is an abundant number, since it is smaller than the sum of its proper divisors (171334251194652).

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

57834968520420 is a wasteful number, since it uses less digits than its factorization.

57834968520420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 57834968520420 in words is "fifty-seven trillion, eight hundred thirty-four billion, nine hundred sixty-eight million, five hundred twenty thousand, four hundred twenty".