53061987041280 has 2304 divisors, whose sum is σ = 221351567542560. Its totient is φ = 11719623573504.

The previous prime is 53061987041269. The next prime is 53061987041303. The reversal of 53061987041280 is 8214078916035.

53061987041280 is a `hidden beast` number, since 5 + 3 + 0 + 61 + 98 + 7 + 0 + 412 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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, 469575106504 + ... + 469575106616.

It is a 2-persistent number, because it is pandigital, and so is 2⋅53061987041280 = 106123974082560, but 3⋅53061987041280 = 159185961123840 is not.

Almost surely, 2^{53061987041280} 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 53061987041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110675783771280).

53061987041280 is an abundant number, since it is smaller than the sum of its proper divisors (168289580501280).

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

53061987041280 is a wasteful number, since it uses less digits than its factorization.

53061987041280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 53061987041280 in words is "fifty-three trillion, sixty-one billion, nine hundred eighty-seven million, forty-one thousand, two hundred eighty".