10235906422560 has 2304 divisors, whose sum is σ = 46843720519680. Its totient is φ = 2066778685440.

The previous prime is 10235906422523. The next prime is 10235906422607. The reversal of 10235906422560 is 6522460953201.

10235906422560 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 5 + 9 + 0 + 64 + 22 + 560 = 666.

10235906422560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10235906422560³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8274782262 + ... + 8274783498.

It is an arithmetic number, because the mean of its divisors is an integer number (20331475920).

Almost surely, 2^{10235906422560} is an apocalyptic number.

10235906422560 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 10235906422560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23421860259840).

10235906422560 is an abundant number, since it is smaller than the sum of its proper divisors (36607814097120).

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

10235906422560 is a wasteful number, since it uses less digits than its factorization.

10235906422560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 10235906422560 in words is "ten trillion, two hundred thirty-five billion, nine hundred six million, four hundred twenty-two thousand, five hundred sixty".