57148410880 has 176 divisors, whose sum is σ = 153205668000. Its totient is φ = 20273561600.

The previous prime is 57148410871. The next prime is 57148410883. The reversal of 57148410880 is 8801484175.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×57148410880² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57148410880.

It is not an unprimeable number, because it can be changed into a prime (57148410883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2296746 + ... + 2321494.

It is an arithmetic number, because the mean of its divisors is an integer number (870486750).

Almost surely, 2^57148410880 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 57148410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76602834000).

57148410880 is an abundant number, since it is smaller than the sum of its proper divisors (96057257120).

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

57148410880 is a wasteful number, since it uses less digits than its factorization.

57148410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24826 (or 24808 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 46.

It can be divided in two parts, 57148 and 410880, that added together give a triangular number (468028 = T₉₆₇).

The spelling of 57148410880 in words is "fifty-seven billion, one hundred forty-eight million, four hundred ten thousand, eight hundred eighty".