1077649418500 has 24 divisors (see below), whose sum is σ = 2353586331096. Its totient is φ = 431059767200.

The previous prime is 1077649418431. The next prime is 1077649418507. The reversal of 1077649418500 is 58149467701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 300321536256 + 777327882244 = 548016^2 + 881662^2 .

It is a super-2 number, since 2×1077649418500² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1077649418507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1077648919 + ... + 1077649918.

It is an arithmetic number, because the mean of its divisors is an integer number (98066097129).

Almost surely, 2^{1077649418500} is an apocalyptic number.

1077649418500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077649418500 is an abundant number, since it is smaller than the sum of its proper divisors (1275936912596).

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

1077649418500 is a wasteful number, since it uses less digits than its factorization.

1077649418500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155298856 (or 2155298844 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 1077649418500 in words is "one trillion, seventy-seven billion, six hundred forty-nine million, four hundred eighteen thousand, five hundred".