54353694124800 has 1512 divisors, whose sum is σ = 230929493253984. Its totient is φ = 12401866506240.

The previous prime is 54353694124789. The next prime is 54353694124801. The reversal of 54353694124800 is 842149635345.

It is a happy number.

54353694124800 is a `hidden beast` number, since 5 + 4 + 3 + 536 + 9 + 4 + 1 + 24 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is not an unprimeable number, because it can be changed into a prime (54353694124801) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 25245560524 + ... + 25245562676.

It is an arithmetic number, because the mean of its divisors is an integer number (152731146332).

Almost surely, 2^{54353694124800} is an apocalyptic number.

54353694124800 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 54353694124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115464746626992).

54353694124800 is an abundant number, since it is smaller than the sum of its proper divisors (176575799129184).

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

54353694124800 is an equidigital number, since it uses as much as digits as its factorization.

54353694124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 54353694124800 in words is "fifty-four trillion, three hundred fifty-three billion, six hundred ninety-four million, one hundred twenty-four thousand, eight hundred".