1101553600 has 168 divisors, whose sum is σ = 3152119680. Its totient is φ = 371051520.

The previous prime is 1101553591. The next prime is 1101553619. The reversal of 1101553600 is 63551011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659967 + ... + 661633.

Almost surely, 2^1101553600 is an apocalyptic number.

1101553600 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 1101553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576059840).

1101553600 is an abundant number, since it is smaller than the sum of its proper divisors (2050566080).

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

1101553600 is a wasteful number, since it uses less digits than its factorization.

1101553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 1101553600 is about 33189.6610407518. The cubic root of 1101553600 is about 1032.7658718058.

The spelling of 1101553600 in words is "one billion, one hundred one million, five hundred fifty-three thousand, six hundred".