53205501255540 has 192 divisors, whose sum is σ = 155904291164160. Its totient is φ = 13542841128960.

The previous prime is 53205501255499. The next prime is 53205501255559. The reversal of 53205501255540 is 4555210550235.

53205501255540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 53205501255492 and 53205501255501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1721232685 + ... + 1721263595.

It is an arithmetic number, because the mean of its divisors is an integer number (812001516480).

Almost surely, 2^{53205501255540} 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 53205501255540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77952145582080).

53205501255540 is an abundant number, since it is smaller than the sum of its proper divisors (102698789908620).

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

53205501255540 is a wasteful number, since it uses less digits than its factorization.

53205501255540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45642 (or 45640 counting only the distinct ones).

The product of its (nonzero) digits is 750000, while the sum is 42.

The spelling of 53205501255540 in words is "fifty-three trillion, two hundred five billion, five hundred one million, two hundred fifty-five thousand, five hundred forty".