10820001777984 has 490 divisors, whose sum is σ = 37555120326490. Its totient is φ = 3091397073408.

The previous prime is 10820001777967. The next prime is 10820001778013. The reversal of 10820001777984 is 48977710002801.

It can be written as a sum of positive squares in only one way, i.e., 6560401123584 + 4259600654400 = 2561328^2 + 2063880^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 10820001777984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 111972762 + ... + 112069350.

Almost surely, 2^{10820001777984} is an apocalyptic number.

10820001777984 is a gapful number since it is divisible by the number (14) 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 10820001777984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18777560163245).

10820001777984 is an abundant number, since it is smaller than the sum of its proper divisors (26735118548506).

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

10820001777984 is an frugal number, since it uses more digits than its factorization.

10820001777984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96647 (or 96601 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 10820001777984 in words is "ten trillion, eight hundred twenty billion, one million, seven hundred seventy-seven thousand, nine hundred eighty-four".