53128965960000 has 2240 divisors, whose sum is σ = 230211090869760. Its totient is φ = 11907357696000.

The previous prime is 53128965959987. The next prime is 53128965960011. The reversal of 53128965960000 is 6956982135.

It is a happy number.

53128965960000 is a `hidden beast` number, since 5 + 3 + 1 + 28 + 9 + 6 + 5 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 32455079182 + ... + 32455080818.

It is an arithmetic number, because the mean of its divisors is an integer number (102772808424).

Almost surely, 2^{53128965960000} is an apocalyptic number.

53128965960000 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 53128965960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115105545434880).

53128965960000 is an abundant number, since it is smaller than the sum of its proper divisors (177082124909760).

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

53128965960000 is an frugal number, since it uses more digits than its factorization.

53128965960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 53128965960000 in words is "fifty-three trillion, one hundred twenty-eight billion, nine hundred sixty-five million, nine hundred sixty thousand".