54786958306080 has 2304 divisors, whose sum is σ = 244190904975360. Its totient is φ = 10139118796800.

The previous prime is 54786958306057. The next prime is 54786958306121. The reversal of 54786958306080 is 8060385968745.

It is a happy number.

It is a super-2 number, since 2×54786958306080² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54786958305996 and 54786958306014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 49942532092 + ... + 49942533188.

It is an arithmetic number, because the mean of its divisors is an integer number (105985635840).

Almost surely, 2^{54786958306080} 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 54786958306080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122095452487680).

54786958306080 is an abundant number, since it is smaller than the sum of its proper divisors (189403946669280).

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

54786958306080 is a wasteful number, since it uses less digits than its factorization.

54786958306080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 69.

The spelling of 54786958306080 in words is "fifty-four trillion, seven hundred eighty-six billion, nine hundred fifty-eight million, three hundred six thousand, eighty".