57625373250 has 192 divisors, whose sum is σ = 159979948128. Its totient is φ = 14961600000.

The previous prime is 57625373249. The next prime is 57625373251. The reversal of 57625373250 is 5237352675.

57625373250 is a `hidden beast` number, since 5 + 7 + 6 + 25 + 373 + 250 = 666.

It is an interprime number because it is at equal distance from previous prime (57625373249) and next prime (57625373251).

It can be written as a sum of positive squares in 16 ways, for example, as 3369454209 + 54255919041 = 58047^2 + 232929^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 57625373196 and 57625373205.

It is not an unprimeable number, because it can be changed into a prime (57625373251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13860172 + ... + 13864328.

Almost surely, 2^57625373250 is an apocalyptic number.

57625373250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57625373250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79989974064).

57625373250 is an abundant number, since it is smaller than the sum of its proper divisors (102354574878).

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

57625373250 is a wasteful number, since it uses less digits than its factorization.

57625373250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 57625373250 in words is "fifty-seven billion, six hundred twenty-five million, three hundred seventy-three thousand, two hundred fifty".