54215420053200 has 480 divisors, whose sum is σ = 204562874757120. Its totient is φ = 12017154816000.

The previous prime is 54215420053159. The next prime is 54215420053237. The reversal of 54215420053200 is 235002451245.

It is a happy number.

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, 42403275 + ... + 43663125.

It is an arithmetic number, because the mean of its divisors is an integer number (426172655744).

Almost surely, 2^{54215420053200} is an apocalyptic number.

54215420053200 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 54215420053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102281437378560).

54215420053200 is an abundant number, since it is smaller than the sum of its proper divisors (150347454703920).

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

54215420053200 is a wasteful number, since it uses less digits than its factorization.

54215420053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260035 (or 1260024 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 54215420053200 in words is "fifty-four trillion, two hundred fifteen billion, four hundred twenty million, fifty-three thousand, two hundred".