54519808720896 has 1088 divisors, whose sum is σ = 171367887667200. Its totient is φ = 17112124882944.

The previous prime is 54519808720807. The next prime is 54519808721009. The reversal of 54519808720896 is 69802780891545.

54519808720896 is a `hidden beast` number, since 5 + 4 + 519 + 8 + 0 + 8 + 7 + 20 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 429289832385 + ... + 429289832511.

Almost surely, 2^{54519808720896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54519808720896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85683943833600).

54519808720896 is an abundant number, since it is smaller than the sum of its proper divisors (116848078946304).

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

54519808720896 is an equidigital number, since it uses as much as digits as its factorization.

54519808720896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 54519808720896 in words is "fifty-four trillion, five hundred nineteen billion, eight hundred eight million, seven hundred twenty thousand, eight hundred ninety-six".