54948601440000 has 1080 divisors, whose sum is σ = 206199145152000. Its totient is φ = 14051143680000.

The previous prime is 54948601439947. The next prime is 54948601440053. The reversal of 54948601440000 is 4410684945.

54948601440000 is a `hidden beast` number, since 549 + 4 + 8 + 60 + 1 + 4 + 40 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54948601439947) and next prime (54948601440053).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6222235585 + ... + 6222244415.

It is an arithmetic number, because the mean of its divisors is an integer number (190925134400).

Almost surely, 2^{54948601440000} is an apocalyptic number.

54948601440000 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 54948601440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103099572576000).

54948601440000 is an abundant number, since it is smaller than the sum of its proper divisors (151250543712000).

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

54948601440000 is a wasteful number, since it uses less digits than its factorization.

54948601440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9051 (or 9019 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 54948601440000 in words is "fifty-four trillion, nine hundred forty-eight billion, six hundred one million, four hundred forty thousand".