112052967660 has 288 divisors, whose sum is σ = 355170816000. Its totient is φ = 28564047360.

The previous prime is 112052967659. The next prime is 112052967683. The reversal of 112052967660 is 66769250211.

112052967660 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 529 + 67 + 6 + 60 = 666.

It is a super-2 number, since 2×112052967660² (a number of 23 digits) contains 22 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255245721 + ... + 255246159.

It is an arithmetic number, because the mean of its divisors is an integer number (1233232000).

Almost surely, 2^112052967660 is an apocalyptic number.

112052967660 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 112052967660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177585408000).

112052967660 is an abundant number, since it is smaller than the sum of its proper divisors (243117848340).

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

112052967660 is a wasteful number, since it uses less digits than its factorization.

112052967660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 112052967660 in words is "one hundred twelve billion, fifty-two million, nine hundred sixty-seven thousand, six hundred sixty".