53778611335680 has 3840 divisors, whose sum is σ = 249856048189440. Its totient is φ = 10973491200000.

The previous prime is 53778611335637. The next prime is 53778611335681. The reversal of 53778611335680 is 8653311687735.

53778611335680 is a `hidden beast` number, since 5 + 3 + 7 + 7 + 8 + 61 + 1 + 3 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53778611335681) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 214257415555 + ... + 214257415805.

It is an arithmetic number, because the mean of its divisors is an integer number (65066679216).

Almost surely, 2^{53778611335680} 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 53778611335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124928024094720).

53778611335680 is an abundant number, since it is smaller than the sum of its proper divisors (196077436853760).

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

53778611335680 is an equidigital number, since it uses as much as digits as its factorization.

53778611335680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 53778611335680 in words is "fifty-three trillion, seven hundred seventy-eight billion, six hundred eleven million, three hundred thirty-five thousand, six hundred eighty".