53123781312 has 784 divisors, whose sum is σ = 191892326400. Its totient is φ = 14265538560.

The previous prime is 53123781311. The next prime is 53123781323. The reversal of 53123781312 is 21318732135.

It is a happy number.

53123781312 is a `hidden beast` number, since 5 + 31 + 237 + 81 + 312 = 666.

It is a super-2 number, since 2×53123781312² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (30240) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (53123781311) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 672452889 + ... + 672452967.

Almost surely, 2^53123781312 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 53123781312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95946163200).

53123781312 is an abundant number, since it is smaller than the sum of its proper divisors (138768545088).

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

53123781312 is an equidigital number, since it uses as much as digits as its factorization.

53123781312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The spelling of 53123781312 in words is "fifty-three billion, one hundred twenty-three million, seven hundred eighty-one thousand, three hundred twelve".