1127655091900 has 144 divisors (see below), whose sum is σ = 2496222231552. Its totient is φ = 442104480000.

The previous prime is 1127655091891. The next prime is 1127655091907. The reversal of 1127655091900 is 91905567211.

It is a super-4 number, since 4×1127655091900⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127655091907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457094467 + ... + 457096933.

It is an arithmetic number, because the mean of its divisors is an integer number (17334876608).

Almost surely, 2^{1127655091900} is an apocalyptic number.

1127655091900 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 1127655091900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248111115776).

1127655091900 is an abundant number, since it is smaller than the sum of its proper divisors (1368567139652).

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

1127655091900 is a wasteful number, since it uses less digits than its factorization.

1127655091900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 46.

The spelling of 1127655091900 in words is "one trillion, one hundred twenty-seven billion, six hundred fifty-five million, ninety-one thousand, nine hundred".