1101028158360 has 512 divisors, whose sum is σ = 4164967296000. Its totient is φ = 256478109696.

The previous prime is 1101028158353. The next prime is 1101028158361. The reversal of 1101028158360 is 638518201011.

1101028158360 is a `hidden beast` number, since 1 + 1 + 0 + 10 + 2 + 8 + 1 + 583 + 60 = 666.

It is a super-2 number, since 2×1101028158360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101028158361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 342251472 + ... + 342254688.

It is an arithmetic number, because the mean of its divisors is an integer number (8134701750).

Almost surely, 2^{1101028158360} is an apocalyptic number.

1101028158360 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 1101028158360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082483648000).

1101028158360 is an abundant number, since it is smaller than the sum of its proper divisors (3063939137640).

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

1101028158360 is a wasteful number, since it uses less digits than its factorization.

1101028158360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 1101028158360 in words is "one trillion, one hundred one billion, twenty-eight million, one hundred fifty-eight thousand, three hundred sixty".