57716372448 has 216 divisors, whose sum is σ = 198000529272. Its totient is φ = 16490283264.

The previous prime is 57716372437. The next prime is 57716372471. The reversal of 57716372448 is 84427361775.

57716372448 is a `hidden beast` number, since 5 + 7 + 71 + 63 + 72 + 448 = 666.

57716372448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a junction number, because it is equal to n+sod(n) for n = 57716372394 and 57716372403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 305286 + ... + 456762.

It is an arithmetic number, because the mean of its divisors is an integer number (916669117).

Almost surely, 2^57716372448 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 57716372448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99000264636).

57716372448 is an abundant number, since it is smaller than the sum of its proper divisors (140284156824).

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

57716372448 is a wasteful number, since it uses less digits than its factorization.

57716372448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151516 (or 151489 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 57716372448 in words is "fifty-seven billion, seven hundred sixteen million, three hundred seventy-two thousand, four hundred forty-eight".