54208440000 has 1470 divisors, whose sum is σ = 238071414636. Its totient is φ = 12130560000.

The previous prime is 54208439969. The next prime is 54208440019. The reversal of 54208440000 is 4480245.

54208440000 is a `hidden beast` number, since 54 + 208 + 4 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 4169879994 + ... + 4169880006.

Almost surely, 2^54208440000 is an apocalyptic number.

54208440000 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 54208440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119035707318).

54208440000 is an abundant number, since it is smaller than the sum of its proper divisors (183862974636).

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

54208440000 is an equidigital number, since it uses as much as digits as its factorization.

54208440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 54208440000 in words is "fifty-four billion, two hundred eight million, four hundred forty thousand".