1100511950640 has 160 divisors (see below), whose sum is σ = 3581236786176. Its totient is φ = 279029160960.

The previous prime is 1100511950633. The next prime is 1100511950641. The reversal of 1100511950640 is 460591150011.

It is a super-2 number, since 2×1100511950640² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1100511950641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324930 + ... + 1518750.

Almost surely, 2^{1100511950640} is an apocalyptic number.

1100511950640 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 1100511950640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790618393088).

1100511950640 is an abundant number, since it is smaller than the sum of its proper divisors (2480724835536).

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

1100511950640 is a wasteful number, since it uses less digits than its factorization.

1100511950640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194027 (or 1194021 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 1100511950640 in words is "one trillion, one hundred billion, five hundred eleven million, nine hundred fifty thousand, six hundred forty".