1135955179900 has 72 divisors (see below), whose sum is σ = 2529452385936. Its totient is φ = 442543449600.

The previous prime is 1135955179837. The next prime is 1135955179903. The reversal of 1135955179900 is 99715595311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135955179903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2170702 + ... + 2642698.

It is an arithmetic number, because the mean of its divisors is an integer number (35131283138).

Almost surely, 2^{1135955179900} is an apocalyptic number.

1135955179900 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 1135955179900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264726192968).

1135955179900 is an abundant number, since it is smaller than the sum of its proper divisors (1393497206036).

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

1135955179900 is a wasteful number, since it uses less digits than its factorization.

1135955179900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472639 (or 472632 counting only the distinct ones).

The product of its (nonzero) digits is 1913625, while the sum is 55.

The spelling of 1135955179900 in words is "one trillion, one hundred thirty-five billion, nine hundred fifty-five million, one hundred seventy-nine thousand, nine hundred".