10772585197920 has 2304 divisors, whose sum is σ = 48731079720960. Its totient is φ = 2173796352000.

The previous prime is 10772585197903. The next prime is 10772585197931. The reversal of 10772585197920 is 2979158527701.

10772585197920 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 25 + 8 + 519 + 7 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15367453570 + ... + 15367454270.

It is an arithmetic number, because the mean of its divisors is an integer number (21150642240).

Almost surely, 2^{10772585197920} is an apocalyptic number.

10772585197920 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 10772585197920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24365539860480).

10772585197920 is an abundant number, since it is smaller than the sum of its proper divisors (37958494523040).

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

10772585197920 is a wasteful number, since it uses less digits than its factorization.

10772585197920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 63.

The spelling of 10772585197920 in words is "ten trillion, seven hundred seventy-two billion, five hundred eighty-five million, one hundred ninety-seven thousand, nine hundred twenty".