112778265600 has 2112 divisors, whose sum is σ = 559477524480. Its totient is φ = 21499084800.

The previous prime is 112778265599. The next prime is 112778265641. The reversal of 112778265600 is 6562877211.

112778265600 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 7 + 82 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 691891119 + ... + 691891281.

Almost surely, 2^112778265600 is an apocalyptic number.

112778265600 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 112778265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279738762240).

112778265600 is an abundant number, since it is smaller than the sum of its proper divisors (446699258880).

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

112778265600 is a wasteful number, since it uses less digits than its factorization.

112778265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 112778265600 in words is "one hundred twelve billion, seven hundred seventy-eight million, two hundred sixty-five thousand, six hundred".