52419745382400 has 2304 divisors, whose sum is σ = 218512471806720. Its totient is φ = 12345252249600.

The previous prime is 52419745382387. The next prime is 52419745382401. The reversal of 52419745382400 is 428354791425.

It is a happy number.

52419745382400 is a `hidden beast` number, since 5 + 2 + 4 + 19 + 74 + 538 + 24 + 0 + 0 = 666.

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

It is a super-2 number, since 2×52419745382400² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52419745382401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81019698877 + ... + 81019699523.

It is an arithmetic number, because the mean of its divisors is an integer number (94840482555).

Almost surely, 2^{52419745382400} is an apocalyptic number.

52419745382400 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 52419745382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109256235903360).

52419745382400 is an abundant number, since it is smaller than the sum of its proper divisors (166092726424320).

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

52419745382400 is an equidigital number, since it uses as much as digits as its factorization.

52419745382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 52419745382400 in words is "fifty-two trillion, four hundred nineteen billion, seven hundred forty-five million, three hundred eighty-two thousand, four hundred".