1100252567680 has 512 divisors, whose sum is σ = 3238407889920. Its totient is φ = 349274112000.

The previous prime is 1100252567629. The next prime is 1100252567683. The reversal of 1100252567680 is 867652520011.

It is not an unprimeable number, because it can be changed into a prime (1100252567683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 578774730 + ... + 578776630.

It is an arithmetic number, because the mean of its divisors is an integer number (6325015410).

Almost surely, 2^{1100252567680} is an apocalyptic number.

1100252567680 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 1100252567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619203944960).

1100252567680 is an abundant number, since it is smaller than the sum of its proper divisors (2138155322240).

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

1100252567680 is a wasteful number, since it uses less digits than its factorization.

1100252567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 1100252567680 in words is "one trillion, one hundred billion, two hundred fifty-two million, five hundred sixty-seven thousand, six hundred eighty".