10456826380 has 576 divisors, whose sum is σ = 32432762880. Its totient is φ = 2777241600.

The previous prime is 10456826371. The next prime is 10456826399. The reversal of 10456826380 is 8362865401.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125985819 + ... + 125985901.

It is an arithmetic number, because the mean of its divisors is an integer number (56306880).

Almost surely, 2^10456826380 is an apocalyptic number.

10456826380 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 10456826380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216381440).

10456826380 is an abundant number, since it is smaller than the sum of its proper divisors (21975936500).

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

10456826380 is a wasteful number, since it uses less digits than its factorization.

10456826380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 10456826380 in words is "ten billion, four hundred fifty-six million, eight hundred twenty-six thousand, three hundred eighty".