10183113420480 has 5376 divisors, whose sum is σ = 52913826201600. Its totient is φ = 1727252398080.

The previous prime is 10183113420463. The next prime is 10183113420509. The reversal of 10183113420480 is 8402431138101.

10183113420480 is a `hidden beast` number, since 1 + 0 + 1 + 83 + 113 + 420 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 74329294972 + ... + 74329295108.

It is an arithmetic number, because the mean of its divisors is an integer number (9842601600).

Almost surely, 2^{10183113420480} is an apocalyptic number.

10183113420480 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 10183113420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26456913100800).

10183113420480 is an abundant number, since it is smaller than the sum of its proper divisors (42730712781120).

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

10183113420480 is a wasteful number, since it uses less digits than its factorization.

10183113420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 10183113420480 its reverse (8402431138101), we get a palindrome (18585544558581).

The spelling of 10183113420480 in words is "ten trillion, one hundred eighty-three billion, one hundred thirteen million, four hundred twenty thousand, four hundred eighty".