10882562838070 has 128 divisors (see below), whose sum is σ = 24625516050432. Its totient is φ = 3363800832000.

The previous prime is 10882562838067. The next prime is 10882562838071. The reversal of 10882562838070 is 7083826528801.

It is a junction number, because it is equal to n+sod(n) for n = 10882562837996 and 10882562838014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10882562838071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68869192 + ... + 69027028.

It is an arithmetic number, because the mean of its divisors is an integer number (192386844144).

Almost surely, 2^{10882562838070} is an apocalyptic number.

10882562838070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10882562838070 is an abundant number, since it is smaller than the sum of its proper divisors (13742953212362).

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

10882562838070 is a wasteful number, since it uses less digits than its factorization.

10882562838070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158606.

The product of its (nonzero) digits is 10321920, while the sum is 58.

The spelling of 10882562838070 in words is "ten trillion, eight hundred eighty-two billion, five hundred sixty-two million, eight hundred thirty-eight thousand, seventy".