10354245120 has 320 divisors, whose sum is σ = 37417248000. Its totient is φ = 2713264128.

The previous prime is 10354245107. The next prime is 10354245163. The reversal of 10354245120 is 2154245301.

10354245120 is a `hidden beast` number, since 103 + 5 + 42 + 4 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×10354245120³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4076811 + ... + 4079349.

It is an arithmetic number, because the mean of its divisors is an integer number (116928900).

Almost surely, 2^10354245120 is an apocalyptic number.

10354245120 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 10354245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18708624000).

10354245120 is an abundant number, since it is smaller than the sum of its proper divisors (27063002880).

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

10354245120 is an equidigital number, since it uses as much as digits as its factorization.

10354245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 10354245120 in words is "ten billion, three hundred fifty-four million, two hundred forty-five thousand, one hundred twenty".