57491026240 has 112 divisors (see below), whose sum is σ = 142907241744. Its totient is φ = 22007808000.

The previous prime is 57491026193. The next prime is 57491026247. The reversal of 57491026240 is 4262019475.

It can be written as a sum of positive squares in 8 ways, for example, as 14975885376 + 42515140864 = 122376^2 + 206192^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 57491026193 and 57491026202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57491026247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682440 + ... + 762040.

Almost surely, 2^57491026240 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 57491026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71453620872).

57491026240 is an abundant number, since it is smaller than the sum of its proper divisors (85416215504).

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

57491026240 is a wasteful number, since it uses less digits than its factorization.

57491026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79716 (or 79706 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 57491026240 in words is "fifty-seven billion, four hundred ninety-one million, twenty-six thousand, two hundred forty".