1061965577000 has 64 divisors (see below), whose sum is σ = 2485644632640. Its totient is φ = 424675944000.

The previous prime is 1061965576891. The next prime is 1061965577003. The reversal of 1061965577000 is 7755691601.

It is a super-2 number, since 2×1061965577000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061965577003) 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 15 ways as a sum of consecutive naturals, for example, 3771095 + ... + 4042905.

It is an arithmetic number, because the mean of its divisors is an integer number (38838197385).

Almost surely, 2^{1061965577000} is an apocalyptic number.

1061965577000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061965577000 is an abundant number, since it is smaller than the sum of its proper divisors (1423679055640).

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

1061965577000 is a wasteful number, since it uses less digits than its factorization.

1061965577000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275739 (or 275725 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 47.

The spelling of 1061965577000 in words is "one trillion, sixty-one billion, nine hundred sixty-five million, five hundred seventy-seven thousand".