4955321713680 has 800 divisors, whose sum is σ = 19377696248064. Its totient is φ = 1164482998272.

The previous prime is 4955321713669. The next prime is 4955321713697. The reversal of 4955321713680 is 863171235594.

It is a happy number.

4955321713680 is a `hidden beast` number, since 4 + 9 + 5 + 532 + 1 + 71 + 36 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1137322062 + ... + 1137326418.

It is a 1-persistent number, because it is pandigital, but 2⋅4955321713680 = 9910643427360 is not.

Almost surely, 2^{4955321713680} is an apocalyptic number.

4955321713680 is a gapful number since it is divisible by the number (40) 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 4955321713680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9688848124032).

4955321713680 is an abundant number, since it is smaller than the sum of its proper divisors (14422374534384).

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

4955321713680 is a wasteful number, since it uses less digits than its factorization.

4955321713680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 4955321713680 in words is "four trillion, nine hundred fifty-five billion, three hundred twenty-one million, seven hundred thirteen thousand, six hundred eighty".