53438939136 has 768 divisors, whose sum is σ = 193144752000. Its totient is φ = 14438891520.

The previous prime is 53438939101. The next prime is 53438939143. The reversal of 53438939136 is 63193983435.

53438939136 is a `hidden beast` number, since 5 + 3 + 438 + 93 + 91 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×53438939136² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2812575735 + ... + 2812575753.

Almost surely, 2^53438939136 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 53438939136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96572376000).

53438939136 is an abundant number, since it is smaller than the sum of its proper divisors (139705812864).

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

53438939136 is a wasteful number, since it uses less digits than its factorization.

53438939136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 52 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The spelling of 53438939136 in words is "fifty-three billion, four hundred thirty-eight million, nine hundred thirty-nine thousand, one hundred thirty-six".