5510096486400 has 480 divisors, whose sum is σ = 19877962104000. Its totient is φ = 1335676108800.

The previous prime is 5510096486371. The next prime is 5510096486407. The reversal of 5510096486400 is 46846900155.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5510096486400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5510096486400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5510096486407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432531231 + ... + 432543969.

It is an arithmetic number, because the mean of its divisors is an integer number (41412421050).

Almost surely, 2^{5510096486400} is an apocalyptic number.

5510096486400 is a gapful number since it is divisible by the number (50) 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 5510096486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9938981052000).

5510096486400 is an abundant number, since it is smaller than the sum of its proper divisors (14367865617600).

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

5510096486400 is an equidigital number, since it uses as much as digits as its factorization.

5510096486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12801 (or 12760 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 5510096486400 in words is "five trillion, five hundred ten billion, ninety-six million, four hundred eighty-six thousand, four hundred".