54798480000 has 1440 divisors, whose sum is σ = 235527872580. Its totient is φ = 12165120000.

The previous prime is 54798479971. The next prime is 54798480031. The reversal of 54798480000 is 8489745.

It can be written as a sum of positive squares in 10 ways, for example, as 457275456 + 54341204544 = 21384^2 + 233112^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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 179 ways as a sum of consecutive naturals, for example, 1481039982 + ... + 1481040018.

Almost surely, 2^54798480000 is an apocalyptic number.

54798480000 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 54798480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117763936290).

54798480000 is an abundant number, since it is smaller than the sum of its proper divisors (180729392580).

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

54798480000 is a wasteful number, since it uses less digits than its factorization.

54798480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 54798480000 in words is "fifty-four billion, seven hundred ninety-eight million, four hundred eighty thousand".