54996480000 has 1560 divisors, whose sum is σ = 255477421056. Its totient is φ = 11059200000.

The previous prime is 54996479959. The next prime is 54996480013. The reversal of 54996480000 is 8469945.

It is a happy number.

It is a super-2 number, since 2×54996480000² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1774079985 + ... + 1774080015.

Almost surely, 2^54996480000 is an apocalyptic number.

54996480000 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 54996480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127738710528).

54996480000 is an abundant number, since it is smaller than the sum of its proper divisors (200480941056).

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

54996480000 is a wasteful number, since it uses less digits than its factorization.

54996480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 54996480000 in words is "fifty-four billion, nine hundred ninety-six million, four hundred eighty thousand".