5353146893952 has 1536 divisors, whose sum is σ = 19352908800000. Its totient is φ = 1443245506560.

The previous prime is 5353146893951. The next prime is 5353146893977. The reversal of 5353146893952 is 2593986413535.

5353146893952 is a `hidden beast` number, since 5 + 3 + 5 + 31 + 468 + 93 + 9 + 52 = 666.

Its product of digits (104976000) is a multiple of the sum of its prime divisors (360).

It is a self number, because there is not a number n which added to its sum of digits gives 5353146893952.

It is not an unprimeable number, because it can be changed into a prime (5353146893951) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26900235549 + ... + 26900235747.

It is an arithmetic number, because the mean of its divisors is an integer number (12599550000).

Almost surely, 2^{5353146893952} is an apocalyptic number.

5353146893952 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 5353146893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676454400000).

5353146893952 is an abundant number, since it is smaller than the sum of its proper divisors (13999761906048).

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

5353146893952 is a wasteful number, since it uses less digits than its factorization.

5353146893952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 360 counting only the distinct ones).

The product of its digits is 104976000, while the sum is 63.

The spelling of 5353146893952 in words is "five trillion, three hundred fifty-three billion, one hundred forty-six million, eight hundred ninety-three thousand, nine hundred fifty-two".