57923268480 has 1152 divisors, whose sum is σ = 263605829760. Its totient is φ = 12018585600.

The previous prime is 57923268451. The next prime is 57923268509. The reversal of 57923268480 is 8486232975.

57923268480 is a `hidden beast` number, since 5 + 79 + 2 + 32 + 68 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (57923268451) and next prime (57923268509).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83824935 + ... + 83825625.

It is an arithmetic number, because the mean of its divisors is an integer number (228824505).

Almost surely, 2^57923268480 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 57923268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131802914880).

57923268480 is an abundant number, since it is smaller than the sum of its proper divisors (205682561280).

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

57923268480 is a wasteful number, since it uses less digits than its factorization.

57923268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 57923268480 in words is "fifty-seven billion, nine hundred twenty-three million, two hundred sixty-eight thousand, four hundred eighty".