57135474000 has 720 divisors, whose sum is σ = 225591759120. Its totient is φ = 13457664000.

The previous prime is 57135473999. The next prime is 57135474031. The reversal of 57135474000 is 47453175.

It is a happy number.

57135474000 is a `hidden beast` number, since 5 + 71 + 3 + 547 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17354373696 + 39781100304 = 131736^2 + 199452^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80585646 + ... + 80586354.

Almost surely, 2^57135474000 is an apocalyptic number.

57135474000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57135474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112795879560).

57135474000 is an abundant number, since it is smaller than the sum of its proper divisors (168456285120).

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

57135474000 is a wasteful number, since it uses less digits than its factorization.

57135474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

It can be divided in two parts, 57135 and 474000, that added together give a palindrome (531135).

The spelling of 57135474000 in words is "fifty-seven billion, one hundred thirty-five million, four hundred seventy-four thousand".