57754869760 has 448 divisors, whose sum is σ = 172406828160. Its totient is φ = 18182307840.

The previous prime is 57754869749. The next prime is 57754869761. The reversal of 57754869760 is 6796845775.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 57754869692 and 57754869701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57754869761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1408655340 + ... + 1408655380.

It is an arithmetic number, because the mean of its divisors is an integer number (384836670).

Almost surely, 2^57754869760 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 57754869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86203414080).

57754869760 is an abundant number, since it is smaller than the sum of its proper divisors (114651958400).

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

57754869760 is an frugal number, since it uses more digits than its factorization.

57754869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 64.

The spelling of 57754869760 in words is "fifty-seven billion, seven hundred fifty-four million, eight hundred sixty-nine thousand, seven hundred sixty".