57780643092120 has 576 divisors, whose sum is σ = 215148764113920. Its totient is φ = 13366299967488.

The previous prime is 57780643092091. The next prime is 57780643092121. The reversal of 57780643092120 is 2129034608775.

It is a happy number.

57780643092120 is a `hidden beast` number, since 5 + 7 + 7 + 80 + 6 + 430 + 9 + 2 + 120 = 666.

It is a super-2 number, since 2×57780643092120² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57780643092121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 915624489 + ... + 915687591.

It is an arithmetic number, because the mean of its divisors is an integer number (373522159920).

It is a 1-persistent number, because it is pandigital, but 2⋅57780643092120 = 115561286184240 is not.

Almost surely, 2^{57780643092120} 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 57780643092120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107574382056960).

57780643092120 is an abundant number, since it is smaller than the sum of its proper divisors (157368121021800).

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

57780643092120 is a wasteful number, since it uses less digits than its factorization.

57780643092120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63844 (or 63820 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 57780643092120 in words is "fifty-seven trillion, seven hundred eighty billion, six hundred forty-three million, ninety-two thousand, one hundred twenty".