57006705030 has 128 divisors (see below), whose sum is σ = 159664296960. Its totient is φ = 12872663040.

The previous prime is 57006705029. The next prime is 57006705031. The reversal of 57006705030 is 3050760075.

It is a happy number.

57006705030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57006705029) and next prime (57006705031).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 57006704982 and 57006705000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57006705031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 491791 + ... + 596549.

It is an arithmetic number, because the mean of its divisors is an integer number (1247377320).

Almost surely, 2^57006705030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57006705030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79832148480).

57006705030 is an abundant number, since it is smaller than the sum of its proper divisors (102657591930).

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

57006705030 is a wasteful number, since it uses less digits than its factorization.

57006705030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104894.

The product of its (nonzero) digits is 22050, while the sum is 33.

The spelling of 57006705030 in words is "fifty-seven billion, six million, seven hundred five thousand, thirty".