10605987025920 has 1584 divisors, whose sum is σ = 45971346388032. Its totient is φ = 2233451151360.

The previous prime is 10605987025901. The next prime is 10605987025969. The reversal of 10605987025920 is 2952078950601.

10605987025920 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 598 + 7 + 0 + 25 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×10605987025920² (a number of 27 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 1456262599 + ... + 1456269881.

Almost surely, 2^{10605987025920} is an apocalyptic number.

10605987025920 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 10605987025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22985673194016).

10605987025920 is an abundant number, since it is smaller than the sum of its proper divisors (35365359362112).

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

10605987025920 is a wasteful number, since it uses less digits than its factorization.

10605987025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7368 (or 7334 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 10605987025920 in words is "ten trillion, six hundred five billion, nine hundred eighty-seven million, twenty-five thousand, nine hundred twenty".