53141940864 has 640 divisors, whose sum is σ = 178968873600. Its totient is φ = 15568920576.

The previous prime is 53141940853. The next prime is 53141940869. The reversal of 53141940864 is 46804914135.

53141940864 is a `hidden beast` number, since 531 + 4 + 19 + 40 + 8 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (53141940869) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 167640034 + ... + 167640350.

It is an arithmetic number, because the mean of its divisors is an integer number (279638865).

Almost surely, 2^53141940864 is an apocalyptic number.

53141940864 is a gapful number since it is divisible by the number (54) 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 53141940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89484436800).

53141940864 is an abundant number, since it is smaller than the sum of its proper divisors (125826932736).

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

53141940864 is a wasteful number, since it uses less digits than its factorization.

53141940864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 53141940864 in words is "fifty-three billion, one hundred forty-one million, nine hundred forty thousand, eight hundred sixty-four".