57027090240 has 336 divisors, whose sum is σ = 212760671760. Its totient is φ = 13963100160.

The previous prime is 57027090137. The next prime is 57027090277. The reversal of 57027090240 is 4209072075.

It can be written as a sum of positive squares in 8 ways, for example, as 994519296 + 56032570944 = 31536^2 + 236712^2 .

It is a super-2 number, since 2×57027090240² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 57027090195 and 57027090204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1993156 + ... + 2021564.

It is an arithmetic number, because the mean of its divisors is an integer number (633216285).

Almost surely, 2^57027090240 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 57027090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106380335880).

57027090240 is an abundant number, since it is smaller than the sum of its proper divisors (155733581520).

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

57027090240 is a wasteful number, since it uses less digits than its factorization.

57027090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28490 (or 28477 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 57027090240 in words is "fifty-seven billion, twenty-seven million, ninety thousand, two hundred forty".