1036728138600 has 576 divisors, whose sum is σ = 4365986451840. Its totient is φ = 214173849600.

The previous prime is 1036728138521. The next prime is 1036728138613. The reversal of 1036728138600 is 68318276301.

1036728138600 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 7 + 2 + 8 + 1 + 38 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23956182 + ... + 23999418.

It is an arithmetic number, because the mean of its divisors is an integer number (7579837590).

Almost surely, 2^{1036728138600} is an apocalyptic number.

1036728138600 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 1036728138600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182993225920).

1036728138600 is an abundant number, since it is smaller than the sum of its proper divisors (3329258313240).

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

1036728138600 is a wasteful number, since it uses less digits than its factorization.

1036728138600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43450 (or 43438 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1036728138600 in words is "one trillion, thirty-six billion, seven hundred twenty-eight million, one hundred thirty-eight thousand, six hundred".