10590399761920 has 160 divisors (see below), whose sum is σ = 27855279112320. Its totient is φ = 3829538365440.

The previous prime is 10590399761899. The next prime is 10590399761927. The reversal of 10590399761920 is 2916799309501.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10590399761920² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10590399761927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3990139 + ... + 6091141.

It is an arithmetic number, because the mean of its divisors is an integer number (174095494452).

Almost surely, 2^{10590399761920} is an apocalyptic number.

10590399761920 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 10590399761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927639556160).

10590399761920 is an abundant number, since it is smaller than the sum of its proper divisors (17264879350400).

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

10590399761920 is a wasteful number, since it uses less digits than its factorization.

10590399761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101216 (or 2101200 counting only the distinct ones).

The product of its (nonzero) digits is 8266860, while the sum is 61.

The spelling of 10590399761920 in words is "ten trillion, five hundred ninety billion, three hundred ninety-nine million, seven hundred sixty-one thousand, nine hundred twenty".