1009977556768 has 24 divisors (see below), whose sum is σ = 1988444526768. Its totient is φ = 504975772224.

The previous prime is 1009977556739. The next prime is 1009977556769. The reversal of 1009977556768 is 8676557799001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1009977556697 and 1009977556706.

It is not an unprimeable number, because it can be changed into a prime (1009977556769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 922255 + ... + 1694257.

It is an arithmetic number, because the mean of its divisors is an integer number (82851855282).

Almost surely, 2^{1009977556768} is an apocalyptic number.

It is an amenable number.

1009977556768 is a deficient number, since it is larger than the sum of its proper divisors (978466970000).

1009977556768 is an equidigital number, since it uses as much as digits as its factorization.

1009977556768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812896 (or 812888 counting only the distinct ones).

The product of its (nonzero) digits is 200037600, while the sum is 70.

The spelling of 1009977556768 in words is "one trillion, nine billion, nine hundred seventy-seven million, five hundred fifty-six thousand, seven hundred sixty-eight".