53947528352000 has 144 divisors (see below), whose sum is σ = 135166871457072. Its totient is φ = 21454274969600.

The previous prime is 53947528351973. The next prime is 53947528352023. The reversal of 53947528352000 is 25382574935.

It can be written as a sum of positive squares in 8 ways, for example, as 14510736015616 + 39436792336384 = 3809296^2 + 6279872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663572 + ... + 10408428.

It is an arithmetic number, because the mean of its divisors is an integer number (938658829563).

Almost surely, 2^{53947528352000} is an apocalyptic number.

53947528352000 is a gapful number since it is divisible by the number (50) 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 53947528352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67583435728536).

53947528352000 is an abundant number, since it is smaller than the sum of its proper divisors (81219343105072).

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

53947528352000 is an equidigital number, since it uses as much as digits as its factorization.

53947528352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9745061 (or 9745037 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 53.

The spelling of 53947528352000 in words is "fifty-three trillion, nine hundred forty-seven billion, five hundred twenty-eight million, three hundred fifty-two thousand".