1083777212700 has 972 divisors, whose sum is σ = 4352073715080. Its totient is φ = 223533596160.

The previous prime is 1083777212677. The next prime is 1083777212729. The reversal of 1083777212700 is 72127773801.

1083777212700 is a `hidden beast` number, since 1 + 0 + 8 + 377 + 7 + 2 + 1 + 270 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 6054621211 + ... + 6054621389.

Almost surely, 2^{1083777212700} is an apocalyptic number.

1083777212700 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 1083777212700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176036857540).

1083777212700 is an abundant number, since it is smaller than the sum of its proper divisors (3268296502380).

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

1083777212700 is a wasteful number, since it uses less digits than its factorization.

1083777212700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The spelling of 1083777212700 in words is "one trillion, eighty-three billion, seven hundred seventy-seven million, two hundred twelve thousand, seven hundred".