1109496772800 has 504 divisors, whose sum is σ = 4252514644560. Its totient is φ = 272736460800.

The previous prime is 1109496772781. The next prime is 1109496772819. The reversal of 1109496772800 is 82776949011.

1109496772800 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 496 + 7 + 72 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1109496772781) and next prime (1109496772819).

It is a super-2 number, since 2×1109496772800² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153687591 + ... + 153694809.

Almost surely, 2^{1109496772800} is an apocalyptic number.

1109496772800 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 1109496772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126257322280).

1109496772800 is an abundant number, since it is smaller than the sum of its proper divisors (3143017871760).

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

1109496772800 is a wasteful number, since it uses less digits than its factorization.

1109496772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8081 (or 8063 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 1109496772800 in words is "one trillion, one hundred nine billion, four hundred ninety-six million, seven hundred seventy-two thousand, eight hundred".