53350744705335 has 128 divisors (see below), whose sum is σ = 118332168192000. Its totient is φ = 22156194591360.

The previous prime is 53350744705327. The next prime is 53350744705339.

53350744705335 is a `hidden beast` number, since 5 + 3 + 3 + 50 + 74 + 470 + 53 + 3 + 5 = 666.

53350744705335 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53350744705335 - 2³ = 53350744705327 is a prime.

It is a super-2 number, since 2×53350744705335² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53350744705339) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13035366 + ... + 16631964.

It is an arithmetic number, because the mean of its divisors is an integer number (924470064000).

Almost surely, 2^{53350744705335} is an apocalyptic number.

53350744705335 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53350744705335 is an abundant number, since it is smaller than the sum of its proper divisors (64981423486665).

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

53350744705335 is a wasteful number, since it uses less digits than its factorization.

53350744705335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598058 (or 3598052 counting only the distinct ones).

The product of its (nonzero) digits is 39690000, while the sum is 54.

The spelling of 53350744705335 in words is "fifty-three trillion, three hundred fifty billion, seven hundred forty-four million, seven hundred five thousand, three hundred thirty-five".