10404948165120 has 640 divisors, whose sum is σ = 37281720960000. Its totient is φ = 2750523310080.

The previous prime is 10404948165103. The next prime is 10404948165127. The reversal of 10404948165120 is 2156184940401.

10404948165120 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 49 + 481 + 6 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×10404948165120² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10404948165127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9382279126 + ... + 9382280234.

It is an arithmetic number, because the mean of its divisors is an integer number (58252689000).

Almost surely, 2^{10404948165120} is an apocalyptic number.

10404948165120 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 10404948165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18640860480000).

10404948165120 is an abundant number, since it is smaller than the sum of its proper divisors (26876772794880).

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

10404948165120 is a wasteful number, since it uses less digits than its factorization.

10404948165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10404948165120 in words is "ten trillion, four hundred four billion, nine hundred forty-eight million, one hundred sixty-five thousand, one hundred twenty".