10420256932848 has 180 divisors, whose sum is σ = 34031818767648. Its totient is φ = 2967703764480.

The previous prime is 10420256932837. The next prime is 10420256932853. The reversal of 10420256932848 is 84823965202401.

10420256932848 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 2 + 569 + 32 + 8 + 48 = 666.

It is a super-2 number, since 2×10420256932848² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10420256932794 and 10420256932803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 150568 + ... + 4567623.

Almost surely, 2^{10420256932848} is an apocalyptic number.

10420256932848 is a gapful number since it is divisible by the number (18) 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 10420256932848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17015909383824).

10420256932848 is an abundant number, since it is smaller than the sum of its proper divisors (23611561834800).

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

10420256932848 is a wasteful number, since it uses less digits than its factorization.

10420256932848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718532 (or 4718516 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 10420256932848 in words is "ten trillion, four hundred twenty billion, two hundred fifty-six million, nine hundred thirty-two thousand, eight hundred forty-eight".