57879939623040 has 320 divisors, whose sum is σ = 207275546808000. Its totient is φ = 15391652161536.

The previous prime is 57879939623021. The next prime is 57879939623047. The reversal of 57879939623040 is 4032693997875.

57879939623040 is a `hidden beast` number, since 5 + 7 + 87 + 99 + 396 + 2 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 57879939623040.

It is not an unprimeable number, because it can be changed into a prime (57879939623047) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 17055531 + ... + 20165589.

It is an arithmetic number, because the mean of its divisors is an integer number (647736083775).

Almost surely, 2^{57879939623040} 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 57879939623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103637773404000).

57879939623040 is an abundant number, since it is smaller than the sum of its proper divisors (149395607184960).

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

57879939623040 is a wasteful number, since it uses less digits than its factorization.

57879939623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110449 (or 3110428 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 57879939623040 in words is "fifty-seven trillion, eight hundred seventy-nine billion, nine hundred thirty-nine million, six hundred twenty-three thousand, forty".