54398224179600 has 360 divisors, whose sum is σ = 207649592887968. Its totient is φ = 12130613913600.

The previous prime is 54398224179589. The next prime is 54398224179617. The reversal of 54398224179600 is 697142289345.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 8871394 + ... + 13692993.

It is a 3-persistent number, because k⋅54398224179600 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{54398224179600} is an apocalyptic number.

54398224179600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54398224179600 is an abundant number, since it is smaller than the sum of its proper divisors (153251368708368).

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

54398224179600 is a wasteful number, since it uses less digits than its factorization.

54398224179600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22564463 (or 22564445 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 54398224179600 in words is "fifty-four trillion, three hundred ninety-eight billion, two hundred twenty-four million, one hundred seventy-nine thousand, six hundred".