55316101908480 has 1536 divisors, whose sum is σ = 212499462389760. Its totient is φ = 12022972416000.

The previous prime is 55316101908461. The next prime is 55316101908497. The reversal of 55316101908480 is 8480910161355.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×55316101908480² (a number of 28 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 60720199225 + ... + 60720200135.

It is an arithmetic number, because the mean of its divisors is an integer number (138346004160).

Almost surely, 2^{55316101908480} 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 55316101908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106249731194880).

55316101908480 is an abundant number, since it is smaller than the sum of its proper divisors (157183360481280).

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

55316101908480 is a wasteful number, since it uses less digits than its factorization.

55316101908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 51.

The spelling of 55316101908480 in words is "fifty-five trillion, three hundred sixteen billion, one hundred one million, nine hundred eight thousand, four hundred eighty".