53412017692800 has 384 divisors, whose sum is σ = 189517958824320. Its totient is φ = 13143453696000.

The previous prime is 53412017692703. The next prime is 53412017692807. The reversal of 53412017692800 is 829671021435.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 53412017692800.

It is not an unprimeable number, because it can be changed into a prime (53412017692807) 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 47 ways as a sum of consecutive naturals, for example, 408155380 + ... + 408286220.

It is an arithmetic number, because the mean of its divisors is an integer number (493536351105).

It is a 1-persistent number, because it is pandigital, but 2⋅53412017692800 = 106824035385600 is not.

Almost surely, 2^{53412017692800} is an apocalyptic number.

53412017692800 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 53412017692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94758979412160).

53412017692800 is an abundant number, since it is smaller than the sum of its proper divisors (136105941131520).

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

53412017692800 is a wasteful number, since it uses less digits than its factorization.

53412017692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134152 (or 134135 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 53412017692800 in words is "fifty-three trillion, four hundred twelve billion, seventeen million, six hundred ninety-two thousand, eight hundred".