1205796976020 has 1920 divisors, whose sum is σ = 5036267529216. Its totient is φ = 234770006016.

The previous prime is 1205796975991. The next prime is 1205796976067. The reversal of 1205796976020 is 206796975021.

1205796976020 is a `hidden beast` number, since 1 + 2 + 0 + 579 + 6 + 9 + 7 + 60 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 12430896612 + ... + 12430896708.

Almost surely, 2^{1205796976020} is an apocalyptic number.

1205796976020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205796976020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518133764608).

1205796976020 is an abundant number, since it is smaller than the sum of its proper divisors (3830470553196).

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

1205796976020 is a wasteful number, since it uses less digits than its factorization.

1205796976020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

Subtracting from 1205796976020 its reverse (206796975021), we obtain a palindrome (999000000999).

The spelling of 1205796976020 in words is "one trillion, two hundred five billion, seven hundred ninety-six million, nine hundred seventy-six thousand, twenty".