53684719315200 has 1728 divisors, whose sum is σ = 216415088547840. Its totient is φ = 12963151872000.

The previous prime is 53684719315141. The next prime is 53684719315261. The reversal of 53684719315200 is 251391748635.

It is a happy number.

53684719315200 is a `hidden beast` number, since 5 + 3 + 6 + 84 + 7 + 1 + 9 + 31 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16482871972 + ... + 16482875228.

It is an arithmetic number, because the mean of its divisors is an integer number (125240213280).

It is a 1-persistent number, because it is pandigital, but 2⋅53684719315200 = 107369438630400 is not.

Almost surely, 2^{53684719315200} is an apocalyptic number.

53684719315200 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 53684719315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108207544273920).

53684719315200 is an abundant number, since it is smaller than the sum of its proper divisors (162730369232640).

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

53684719315200 is a wasteful number, since it uses less digits than its factorization.

53684719315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 53684719315200 in words is "fifty-three trillion, six hundred eighty-four billion, seven hundred nineteen million, three hundred fifteen thousand, two hundred".