57320415109080 has 384 divisors, whose sum is σ = 193845022525440. Its totient is φ = 14673664512000.

The previous prime is 57320415109079. The next prime is 57320415109081. The reversal of 57320415109080 is 8090151402375.

57320415109080 is a `hidden beast` number, since 5 + 7 + 3 + 2 + 0 + 41 + 510 + 90 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57320415109079) and next prime (57320415109081).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57320415109081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4682651760 + ... + 4682664000.

It is an arithmetic number, because the mean of its divisors is an integer number (504804746160).

Almost surely, 2^{57320415109080} 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 57320415109080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96922511262720).

57320415109080 is an abundant number, since it is smaller than the sum of its proper divisors (136524607416360).

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

57320415109080 is a wasteful number, since it uses less digits than its factorization.

57320415109080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15623 (or 15616 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 57320415109080 in words is "fifty-seven trillion, three hundred twenty billion, four hundred fifteen million, one hundred nine thousand, eighty".