53391895345152 has 3840 divisors, whose sum is σ = 219761942400000. Its totient is φ = 12781922549760.

The previous prime is 53391895345109. The next prime is 53391895345183. The reversal of 53391895345152 is 25154359819335.

53391895345152 is a `hidden beast` number, since 5 + 3 + 3 + 9 + 1 + 89 + 5 + 34 + 515 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 53391895345152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 407571720127 + ... + 407571720257.

It is an arithmetic number, because the mean of its divisors is an integer number (57229672500).

Almost surely, 2^{53391895345152} is an apocalyptic number.

53391895345152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53391895345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109880971200000).

53391895345152 is an abundant number, since it is smaller than the sum of its proper divisors (166370047054848).

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

53391895345152 is a wasteful number, since it uses less digits than its factorization.

53391895345152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 204 counting only the distinct ones).

The product of its digits is 87480000, while the sum is 63.

The spelling of 53391895345152 in words is "fifty-three trillion, three hundred ninety-one billion, eight hundred ninety-five million, three hundred forty-five thousand, one hundred fifty-two".