54959285489920 has 288 divisors, whose sum is σ = 152606669967360. Its totient is φ = 18573330800640.

The previous prime is 54959285489879. The next prime is 54959285489921. The reversal of 54959285489920 is 2998458295945.

It is not an unprimeable number, because it can be changed into a prime (54959285489921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3678905811 + ... + 3678920749.

It is an arithmetic number, because the mean of its divisors is an integer number (529884270720).

Almost surely, 2^{54959285489920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54959285489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76303334983680).

54959285489920 is an abundant number, since it is smaller than the sum of its proper divisors (97647384477440).

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

54959285489920 is a wasteful number, since it uses less digits than its factorization.

54959285489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20821 (or 20807 counting only the distinct ones).

The product of its (nonzero) digits is 3359232000, while the sum is 79.

The spelling of 54959285489920 in words is "fifty-four trillion, nine hundred fifty-nine billion, two hundred eighty-five million, four hundred eighty-nine thousand, nine hundred twenty".