53389279148544 has 240 divisors, whose sum is σ = 157306606554240. Its totient is φ = 17426696110080.

The previous prime is 53389279148479. The next prime is 53389279148551. The reversal of 53389279148544 is 44584197298335.

53389279148544 is a `hidden beast` number, since 5 + 3 + 3 + 8 + 9 + 2 + 79 + 1 + 4 + 8 + 544 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69489049 + ... + 70253159.

It is an arithmetic number, because the mean of its divisors is an integer number (655444193976).

Almost surely, 2^{53389279148544} 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 53389279148544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78653303277120).

53389279148544 is an abundant number, since it is smaller than the sum of its proper divisors (103917327405696).

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

53389279148544 is a wasteful number, since it uses less digits than its factorization.

53389279148544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764451 (or 764432 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 53389279148544 in words is "fifty-three trillion, three hundred eighty-nine billion, two hundred seventy-nine million, one hundred forty-eight thousand, five hundred forty-four".