1107150949800 has 288 divisors, whose sum is σ = 4259185519680. Its totient is φ = 252477388800.

The previous prime is 1107150949771. The next prime is 1107150949813. The reversal of 1107150949800 is 89490517011.

It is a happy number.

1107150949800 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 150 + 9 + 498 + 0 + 0 = 666.

It is a super-4 number, since 4×1107150949800⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5354335 + ... + 5557265.

It is an arithmetic number, because the mean of its divisors is an integer number (14788838610).

Almost surely, 2^{1107150949800} is an apocalyptic number.

1107150949800 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 1107150949800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129592759840).

1107150949800 is an abundant number, since it is smaller than the sum of its proper divisors (3152034569880).

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

1107150949800 is a wasteful number, since it uses less digits than its factorization.

1107150949800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203393 (or 203381 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 1107150949800 in words is "one trillion, one hundred seven billion, one hundred fifty million, nine hundred forty-nine thousand, eight hundred".