53546072400 has 180 divisors, whose sum is σ = 185923574460. Its totient is φ = 14270976000.

The previous prime is 53546072387. The next prime is 53546072417. The reversal of 53546072400 is 427064535.

53546072400 is a `hidden beast` number, since 5 + 3 + 5 + 4 + 607 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 90782784 + 53455289616 = 9528^2 + 231204^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9389550 + ... + 9395250.

It is an arithmetic number, because the mean of its divisors is an integer number (1032908747).

Almost surely, 2^53546072400 is an apocalyptic number.

53546072400 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 53546072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92961787230).

53546072400 is an abundant number, since it is smaller than the sum of its proper divisors (132377502060).

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

53546072400 is a wasteful number, since it uses less digits than its factorization.

53546072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8334 (or 8320 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 53546072400 in words is "fifty-three billion, five hundred forty-six million, seventy-two thousand, four hundred".