54479289047040 has 3456 divisors, whose sum is σ = 232948319385600. Its totient is φ = 11690193715200.

The previous prime is 54479289047023. The next prime is 54479289047087. The reversal of 54479289047040 is 4074098297445.

54479289047040 is a `hidden beast` number, since 5 + 4 + 4 + 79 + 2 + 8 + 90 + 470 + 4 + 0 = 666.

It is a super-2 number, since 2×54479289047040² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 689611253721 + ... + 689611253799.

It is an arithmetic number, because the mean of its divisors is an integer number (67404027600).

Almost surely, 2^{54479289047040} 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 54479289047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116474159692800).

54479289047040 is an abundant number, since it is smaller than the sum of its proper divisors (178469030338560).

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

54479289047040 is a wasteful number, since it uses less digits than its factorization.

54479289047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 54479289047040 in words is "fifty-four trillion, four hundred seventy-nine billion, two hundred eighty-nine million, forty-seven thousand, forty".