10206240458328 has 128 divisors (see below), whose sum is σ = 30035694628800. Its totient is φ = 3200108156928.

The previous prime is 10206240458327. The next prime is 10206240458329. The reversal of 10206240458328 is 82385404260201.

10206240458328 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 2 + 40 + 4 + 583 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (10206240458327) and next prime (10206240458329).

It is a super-2 number, since 2×10206240458328² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206240458327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5561650 + ... + 7165502.

Almost surely, 2^{10206240458328} is an apocalyptic number.

10206240458328 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 10206240458328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15017847314400).

10206240458328 is an abundant number, since it is smaller than the sum of its proper divisors (19829454170472).

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

10206240458328 is a wasteful number, since it uses less digits than its factorization.

10206240458328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605618 (or 1605608 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 10206240458328 in words is "ten trillion, two hundred six billion, two hundred forty million, four hundred fifty-eight thousand, three hundred twenty-eight".