1026830538720 has 1152 divisors, whose sum is σ = 4198568774400. Its totient is φ = 228356997120.

The previous prime is 1026830538709. The next prime is 1026830538731. The reversal of 1026830538720 is 278350386201.

1026830538720 is a `hidden beast` number, since 1 + 0 + 2 + 68 + 30 + 538 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1026830538709) and next prime (1026830538731).

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

It is a congruent number.

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, 5212337662 + ... + 5212337858.

It is an arithmetic number, because the mean of its divisors is an integer number (3644590950).

Almost surely, 2^{1026830538720} is an apocalyptic number.

1026830538720 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 1026830538720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099284387200).

1026830538720 is an abundant number, since it is smaller than the sum of its proper divisors (3171738235680).

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

1026830538720 is a wasteful number, since it uses less digits than its factorization.

1026830538720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1026830538720 in words is "one trillion, twenty-six billion, eight hundred thirty million, five hundred thirty-eight thousand, seven hundred twenty".