54502097443200 has 768 divisors, whose sum is σ = 219521551507200. Its totient is φ = 13095677952000.

The previous prime is 54502097443169. The next prime is 54502097443217. The reversal of 54502097443200 is 234479020545.

54502097443200 is a `hidden beast` number, since 5 + 4 + 5 + 0 + 209 + 7 + 4 + 432 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107141455 + ... + 107648945.

It is an arithmetic number, because the mean of its divisors is an integer number (285835353525).

Almost surely, 2^{54502097443200} is an apocalyptic number.

54502097443200 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 54502097443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109760775753600).

54502097443200 is an abundant number, since it is smaller than the sum of its proper divisors (165019454064000).

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

54502097443200 is a wasteful number, since it uses less digits than its factorization.

54502097443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507648 (or 507625 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 54502097443200 in words is "fifty-four trillion, five hundred two billion, ninety-seven million, four hundred forty-three thousand, two hundred".