53138961792 has 384 divisors, whose sum is σ = 183629376000. Its totient is φ = 15083615232.

The previous prime is 53138961773. The next prime is 53138961803. The reversal of 53138961792 is 29716983135.

53138961792 is a `hidden beast` number, since 5 + 3 + 13 + 8 + 9 + 617 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 28279509 + ... + 28281387.

It is an arithmetic number, because the mean of its divisors is an integer number (478201500).

Almost surely, 2^53138961792 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 53138961792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91814688000).

53138961792 is an abundant number, since it is smaller than the sum of its proper divisors (130490414208).

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

53138961792 is a wasteful number, since it uses less digits than its factorization.

53138961792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2058 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 53138961792 in words is "fifty-three billion, one hundred thirty-eight million, nine hundred sixty-one thousand, seven hundred ninety-two".