5490123964416 has 2048 divisors, whose sum is σ = 21867089664000. Its totient is φ = 1320903770112.

The previous prime is 5490123964363. The next prime is 5490123964421. The reversal of 5490123964416 is 6144693210945.

5490123964416 is a `hidden beast` number, since 5 + 4 + 90 + 1 + 23 + 96 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×5490123964416² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56599216080 + ... + 56599216176.

It is an arithmetic number, because the mean of its divisors is an integer number (10677289875).

Almost surely, 2^{5490123964416} is an apocalyptic number.

5490123964416 is a gapful number since it is divisible by the number (56) 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 5490123964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10933544832000).

5490123964416 is an abundant number, since it is smaller than the sum of its proper divisors (16376965699584).

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

5490123964416 is a wasteful number, since it uses less digits than its factorization.

5490123964416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 5490123964416 in words is "five trillion, four hundred ninety billion, one hundred twenty-three million, nine hundred sixty-four thousand, four hundred sixteen".