57754503648 has 288 divisors, whose sum is σ = 184904306496. Its totient is φ = 17002512384.

The previous prime is 57754503641. The next prime is 57754503679. The reversal of 57754503648 is 84630545775.

57754503648 is a `hidden beast` number, since 5 + 7 + 75 + 4 + 503 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 57754503594 and 57754503603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57754503641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5963386 + ... + 5973062.

It is an arithmetic number, because the mean of its divisors is an integer number (642028842).

Almost surely, 2^57754503648 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 57754503648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92452153248).

57754503648 is an abundant number, since it is smaller than the sum of its proper divisors (127149802848).

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

57754503648 is a wasteful number, since it uses less digits than its factorization.

57754503648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9786 (or 9775 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 57754503648 in words is "fifty-seven billion, seven hundred fifty-four million, five hundred three thousand, six hundred forty-eight".