53180388414720 has 2592 divisors, whose sum is σ = 233038667796480. Its totient is φ = 11555817799680.

The previous prime is 53180388414689. The next prime is 53180388414749. The reversal of 53180388414720 is 2741488308135.

53180388414720 is a `hidden beast` number, since 5 + 3 + 1 + 80 + 3 + 88 + 414 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 287 ways as a sum of consecutive naturals, for example, 73964378521 + ... + 73964379239.

It is an arithmetic number, because the mean of its divisors is an integer number (89906893440).

Almost surely, 2^{53180388414720} 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 53180388414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116519333898240).

53180388414720 is an abundant number, since it is smaller than the sum of its proper divisors (179858279381760).

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

53180388414720 is a wasteful number, since it uses less digits than its factorization.

53180388414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 53180388414720 in words is "fifty-three trillion, one hundred eighty billion, three hundred eighty-eight million, four hundred fourteen thousand, seven hundred twenty".