57067756416 has 512 divisors, whose sum is σ = 195908544000. Its totient is φ = 16162652160.

The previous prime is 57067756411. The next prime is 57067756429. The reversal of 57067756416 is 61465776075.

57067756416 is a `hidden beast` number, since 5 + 7 + 0 + 6 + 77 + 564 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57067756411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146703550 + ... + 146703938.

It is an arithmetic number, because the mean of its divisors is an integer number (382633875).

Almost surely, 2^57067756416 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 57067756416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97954272000).

57067756416 is an abundant number, since it is smaller than the sum of its proper divisors (138840787584).

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

57067756416 is a wasteful number, since it uses less digits than its factorization.

57067756416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 57067756416 in words is "fifty-seven billion, sixty-seven million, seven hundred fifty-six thousand, four hundred sixteen".