53434918279680 has 2560 divisors, whose sum is σ = 221655298867200. Its totient is φ = 10924720128000.

The previous prime is 53434918279667. The next prime is 53434918279759. The reversal of 53434918279680 is 8697281943435.

It is a tau number, because it is divible by the number of its divisors (2560).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 84682912965 + ... + 84682913595.

It is an arithmetic number, because the mean of its divisors is an integer number (86584101120).

It is a 1-persistent number, because it is pandigital, but 2⋅53434918279680 = 106869836559360 is not.

Almost surely, 2^{53434918279680} 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 53434918279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110827649433600).

53434918279680 is an abundant number, since it is smaller than the sum of its proper divisors (168220380587520).

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

53434918279680 is a wasteful number, since it uses less digits than its factorization.

53434918279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 69.

The spelling of 53434918279680 in words is "fifty-three trillion, four hundred thirty-four billion, nine hundred eighteen million, two hundred seventy-nine thousand, six hundred eighty".