1085626678500 has 1728 divisors, whose sum is σ = 4529550654720. Its totient is φ = 226295596800.

The previous prime is 1085626678483. The next prime is 1085626678517. The reversal of 1085626678500 is 58766265801.

1085626678500 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 6 + 2 + 66 + 78 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (1085626678483) and next prime (1085626678517).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 13079839459 + ... + 13079839541.

It is an arithmetic number, because the mean of its divisors is an integer number (2621267740).

Almost surely, 2^{1085626678500} is an apocalyptic number.

1085626678500 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 1085626678500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264775327360).

1085626678500 is an abundant number, since it is smaller than the sum of its proper divisors (3443923976220).

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

1085626678500 is an equidigital number, since it uses as much as digits as its factorization.

1085626678500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1085626678500 in words is "one trillion, eighty-five billion, six hundred twenty-six million, six hundred seventy-eight thousand, five hundred".