53544090528000 has 2304 divisors, whose sum is σ = 219434552064000. Its totient is φ = 12789271756800.

The previous prime is 53544090527971. The next prime is 53544090528109. The reversal of 53544090528000 is 82509044535.

53544090528000 is a `hidden beast` number, since 5 + 35 + 4 + 4 + 0 + 90 + 528 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 119251871776 + ... + 119251872224.

It is an arithmetic number, because the mean of its divisors is an integer number (95240691000).

Almost surely, 2^{53544090528000} is an apocalyptic number.

53544090528000 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 53544090528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109717276032000).

53544090528000 is an abundant number, since it is smaller than the sum of its proper divisors (165890461536000).

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

53544090528000 is a wasteful number, since it uses less digits than its factorization.

53544090528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 53544090528000 in words is "fifty-three trillion, five hundred forty-four billion, ninety million, five hundred twenty-eight thousand".