54990918720000 has 2400 divisors, whose sum is σ = 216651153438720. Its totient is φ = 13377208320000.

The previous prime is 54990918719977. The next prime is 54990918720007. The reversal of 54990918720000 is 2781909945.

54990918720000 is a `hidden beast` number, since 549 + 9 + 0 + 91 + 8 + 7 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×54990918720000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54990918720007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 284927039904 + ... + 284927040096.

Almost surely, 2^{54990918720000} is an apocalyptic number.

54990918720000 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 54990918720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108325576719360).

54990918720000 is an abundant number, since it is smaller than the sum of its proper divisors (161660234718720).

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

54990918720000 is a wasteful number, since it uses less digits than its factorization.

54990918720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 54990918720000 in words is "fifty-four trillion, nine hundred ninety billion, nine hundred eighteen million, seven hundred twenty thousand".