54863982996480 has 2816 divisors, whose sum is σ = 242047446220800. Its totient is φ = 11501426442240.

The previous prime is 54863982996469. The next prime is 54863982996491. The reversal of 54863982996480 is 8469928936845.

54863982996480 is a `hidden beast` number, since 5 + 4 + 8 + 6 + 398 + 2 + 99 + 64 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (54863982996469) and next prime (54863982996491).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54863982996480.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 124974904101 + ... + 124974904539.

It is an arithmetic number, because the mean of its divisors is an integer number (85954348800).

Almost surely, 2^{54863982996480} 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 54863982996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121023723110400).

54863982996480 is an abundant number, since it is smaller than the sum of its proper divisors (187183463224320).

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

54863982996480 is a wasteful number, since it uses less digits than its factorization.

54863982996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 6449725440, while the sum is 81.

The spelling of 54863982996480 in words is "fifty-four trillion, eight hundred sixty-three billion, nine hundred eighty-two million, nine hundred ninety-six thousand, four hundred eighty".