53628785949312 has 576 divisors, whose sum is σ = 183265699406400. Its totient is φ = 15312212545536.

The previous prime is 53628785949311. The next prime is 53628785949391. The reversal of 53628785949312 is 21394958782635.

53628785949312 is a `hidden beast` number, since 5 + 3 + 6 + 2 + 8 + 78 + 59 + 493 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (783820800) is a multiple of the sum of its prime divisors (6144).

It is not an unprimeable number, because it can be changed into a prime (53628785949311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14925905788 + ... + 14925909380.

It is an arithmetic number, because the mean of its divisors is an integer number (318169617025).

Almost surely, 2^{53628785949312} 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 53628785949312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91632849703200).

53628785949312 is an abundant number, since it is smaller than the sum of its proper divisors (129636913457088).

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

53628785949312 is an frugal number, since it uses more digits than its factorization.

53628785949312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6177 (or 6144 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 53628785949312 in words is "fifty-three trillion, six hundred twenty-eight billion, seven hundred eighty-five million, nine hundred forty-nine thousand, three hundred twelve".