53509838814 has 96 divisors (see below), whose sum is σ = 126718824960. Its totient is φ = 16876641600.

The previous prime is 53509838797. The next prime is 53509838869. The reversal of 53509838814 is 41883890535.

53509838814 is a `hidden beast` number, since 53 + 509 + 8 + 3 + 8 + 81 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8408994 + ... + 8415354.

It is an arithmetic number, because the mean of its divisors is an integer number (1319987760).

Almost surely, 2^53509838814 is an apocalyptic number.

53509838814 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53509838814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63359412480).

53509838814 is an abundant number, since it is smaller than the sum of its proper divisors (73208986146).

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

53509838814 is a wasteful number, since it uses less digits than its factorization.

53509838814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7308 (or 7296 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 53509838814 in words is "fifty-three billion, five hundred nine million, eight hundred thirty-eight thousand, eight hundred fourteen".