53786115072 has 220 divisors, whose sum is σ = 161125347240. Its totient is φ = 17871888384.

The previous prime is 53786115049. The next prime is 53786115077. The reversal of 53786115072 is 27051168735.

It is a happy number.

53786115072 is a `hidden beast` number, since 5 + 378 + 61 + 150 + 72 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53786115077) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32264383 + ... + 32266049.

It is an arithmetic number, because the mean of its divisors is an integer number (732387942).

Almost surely, 2^53786115072 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 53786115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80562673620).

53786115072 is an abundant number, since it is smaller than the sum of its proper divisors (107339232168).

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

53786115072 is a wasteful number, since it uses less digits than its factorization.

53786115072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 53786115072 in words is "fifty-three billion, seven hundred eighty-six million, one hundred fifteen thousand, seventy-two".