57840061492320 has 192 divisors, whose sum is σ = 182850540687360. Its totient is φ = 15368659200000.

The previous prime is 57840061492319. The next prime is 57840061492321. The reversal of 57840061492320 is 2329416004875.

It is an interprime number because it is at equal distance from previous prime (57840061492319) and next prime (57840061492321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57840061492321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405821070 + ... + 405963570.

It is an arithmetic number, because the mean of its divisors is an integer number (952346566080).

It is a 1-persistent number, because it is pandigital, but 2⋅57840061492320 = 115680122984640 is not.

Almost surely, 2^{57840061492320} 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 57840061492320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91425270343680).

57840061492320 is an abundant number, since it is smaller than the sum of its proper divisors (125010479195040).

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

57840061492320 is a wasteful number, since it uses less digits than its factorization.

57840061492320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145549 (or 145541 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 57840061492320 in words is "fifty-seven trillion, eight hundred forty billion, sixty-one million, four hundred ninety-two thousand, three hundred twenty".