54029348352000 has 1040 divisors, whose sum is σ = 230205621552192. Its totient is φ = 12349498982400.

The previous prime is 54029348351947. The next prime is 54029348352043. The reversal of 54029348352000 is 25384392045.

54029348352000 is a `hidden beast` number, since 5 + 4 + 0 + 293 + 4 + 8 + 352 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 290210944 + ... + 290397056.

Almost surely, 2^{54029348352000} is an apocalyptic number.

54029348352000 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 54029348352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115102810776096).

54029348352000 is an abundant number, since it is smaller than the sum of its proper divisors (176176273200192).

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

54029348352000 is an equidigital number, since it uses as much as digits as its factorization.

54029348352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186171 (or 186130 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 54029348352000 in words is "fifty-four trillion, twenty-nine billion, three hundred forty-eight million, three hundred fifty-two thousand".