53782235781120 has 7680 divisors, whose sum is σ = 276180826521600. Its totient is φ = 9669810585600.

The previous prime is 53782235781017. The next prime is 53782235781137. The reversal of 53782235781120 is 2118753228735.

53782235781120 is a `hidden beast` number, since 5 + 3 + 78 + 22 + 357 + 81 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

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

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1144302888937 + ... + 1144302888983.

It is an arithmetic number, because the mean of its divisors is an integer number (35961045120).

Almost surely, 2^{53782235781120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53782235781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138090413260800).

53782235781120 is an abundant number, since it is smaller than the sum of its proper divisors (222398590740480).

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

53782235781120 is a wasteful number, since it uses less digits than its factorization.

53782235781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 53782235781120 in words is "fifty-three trillion, seven hundred eighty-two billion, two hundred thirty-five million, seven hundred eighty-one thousand, one hundred twenty".