53078243328000 has 1440 divisors, whose sum is σ = 215757105869760. Its totient is φ = 12865830912000.

The previous prime is 53078243327951. The next prime is 53078243328023. The reversal of 53078243328000 is 82334287035.

53078243328000 is a `hidden beast` number, since 5 + 307 + 8 + 2 + 4 + 332 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6690812034 + ... + 6690819966.

Almost surely, 2^{53078243328000} is an apocalyptic number.

53078243328000 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 53078243328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107878552934880).

53078243328000 is an abundant number, since it is smaller than the sum of its proper divisors (162678862541760).

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

53078243328000 is an equidigital number, since it uses as much as digits as its factorization.

53078243328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007 (or 7954 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 53078243328000 in words is "fifty-three trillion, seventy-eight billion, two hundred forty-three million, three hundred twenty-eight thousand".