1009977556770 has 96 divisors (see below), whose sum is σ = 3231928207872. Its totient is φ = 213094164096.

The previous prime is 1009977556769. The next prime is 1009977556771. The reversal of 1009977556770 is 776557799001.

1009977556770 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 9 + 7 + 7 + 556 + 7 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (1009977556769) and next prime (1009977556771).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1009977556698 and 1009977556707.

It is not an unprimeable number, because it can be changed into a prime (1009977556771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61651002 + ... + 61667381.

It is an arithmetic number, because the mean of its divisors is an integer number (33665918832).

Almost surely, 2^{1009977556770} is an apocalyptic number.

1009977556770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1009977556770 is an abundant number, since it is smaller than the sum of its proper divisors (2221950651102).

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

1009977556770 is a wasteful number, since it uses less digits than its factorization.

1009977556770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123318416 (or 123318413 counting only the distinct ones).

The product of its (nonzero) digits is 29172150, while the sum is 63.

The spelling of 1009977556770 in words is "one trillion, nine billion, nine hundred seventy-seven million, five hundred fifty-six thousand, seven hundred seventy".