53140025695680 has 4032 divisors, whose sum is σ = 250515636940800. Its totient is φ = 10553363251200.

The previous prime is 53140025695661. The next prime is 53140025695681. The reversal of 53140025695680 is 8659652004135.

53140025695680 is a `hidden beast` number, since 5 + 3 + 14 + 0 + 0 + 2 + 5 + 69 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53140025695681) 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 575 ways as a sum of consecutive naturals, for example, 173094546087 + ... + 173094546393.

It is an arithmetic number, because the mean of its divisors is an integer number (62131854400).

Almost surely, 2^{53140025695680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53140025695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125257818470400).

53140025695680 is an abundant number, since it is smaller than the sum of its proper divisors (197375611245120).

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

53140025695680 is a wasteful number, since it uses less digits than its factorization.

53140025695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 53140025695680 in words is "fifty-three trillion, one hundred forty billion, twenty-five million, six hundred ninety-five thousand, six hundred eighty".