57135669690 has 128 divisors (see below), whose sum is σ = 157570375680. Its totient is φ = 13113273600.

The previous prime is 57135669683. The next prime is 57135669697. The reversal of 57135669690 is 9696653175.

It is a happy number.

57135669690 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 (57135669683) and next prime (57135669697).

It is a super-2 number, since 2×57135669690² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 57135669690.

It is not an unprimeable number, because it can be changed into a prime (57135669697) 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, 16243812 + ... + 16247328.

It is an arithmetic number, because the mean of its divisors is an integer number (1231018560).

Almost surely, 2^57135669690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57135669690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78785187840).

57135669690 is an abundant number, since it is smaller than the sum of its proper divisors (100434705990).

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

57135669690 is a wasteful number, since it uses less digits than its factorization.

57135669690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148.

The product of its (nonzero) digits is 9185400, while the sum is 57.

The spelling of 57135669690 in words is "fifty-seven billion, one hundred thirty-five million, six hundred sixty-nine thousand, six hundred ninety".