57015246816 has 960 divisors, whose sum is σ = 210233802240. Its totient is φ = 14929920000.

The previous prime is 57015246791. The next prime is 57015246853. The reversal of 57015246816 is 61864251075.

57015246816 is a `hidden beast` number, since 57 + 0 + 1 + 524 + 68 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 377584341 + ... + 377584491.

It is an arithmetic number, because the mean of its divisors is an integer number (218993544).

Almost surely, 2^57015246816 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 57015246816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105116901120).

57015246816 is an abundant number, since it is smaller than the sum of its proper divisors (153218555424).

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

57015246816 is a wasteful number, since it uses less digits than its factorization.

57015246816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 57015246816 in words is "fifty-seven billion, fifteen million, two hundred forty-six thousand, eight hundred sixteen".