54302355342400 has 168 divisors, whose sum is σ = 145896290254080. Its totient is φ = 19728498432000.

The previous prime is 54302355342373. The next prime is 54302355342409. The reversal of 54302355342400 is 424355320345.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (54302355342409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18127345 + ... + 20909455.

Almost surely, 2^{54302355342400} is an apocalyptic number.

54302355342400 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 54302355342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72948145127040).

54302355342400 is an abundant number, since it is smaller than the sum of its proper divisors (91593934911680).

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

54302355342400 is a wasteful number, since it uses less digits than its factorization.

54302355342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783253 (or 2783238 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 40.

The spelling of 54302355342400 in words is "fifty-four trillion, three hundred two billion, three hundred fifty-five million, three hundred forty-two thousand, four hundred".