5540768077152 has 144 divisors (see below), whose sum is σ = 18270797481216. Its totient is φ = 1439160518400.

The previous prime is 5540768077121. The next prime is 5540768077157. The reversal of 5540768077152 is 2517708670455.

It is a super-2 number, since 2×5540768077152² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5540768077092 and 5540768077101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5540768077157) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33989724 + ... + 34152347.

It is an arithmetic number, because the mean of its divisors is an integer number (126880538064).

Almost surely, 2^{5540768077152} is an apocalyptic number.

It is an amenable number.

5540768077152 is an abundant number, since it is smaller than the sum of its proper divisors (12730029404064).

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

5540768077152 is a wasteful number, since it uses less digits than its factorization.

5540768077152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68142113 (or 68142094 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 57.

The spelling of 5540768077152 in words is "five trillion, five hundred forty billion, seven hundred sixty-eight million, seventy-seven thousand, one hundred fifty-two".