57138480 has 160 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 13056768.

The previous prime is 57138413. The next prime is 57138539. The reversal of 57138480 is 8483175.

57138480 is a `hidden beast` number, since 571 + 3 + 8 + 4 + 80 = 666.

It is a Cunningham number, because it is equal to 7559²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13231 + ... + 17009.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^57138480 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 57138480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

57138480 is an abundant number, since it is smaller than the sum of its proper divisors (167847120).

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

57138480 is a wasteful number, since it uses less digits than its factorization.

57138480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 57138480 is about 7558.9999338537. Note that the first 4 decimals coincide. The cubic root of 57138480 is about 385.1615221511.

The spelling of 57138480 in words is "fifty-seven million, one hundred thirty-eight thousand, four hundred eighty".