109026618152160 has 768 divisors, whose sum is σ = 369561709440000. Its totient is φ = 26935421829120.

The previous prime is 109026618152077. The next prime is 109026618152167. The reversal of 109026618152160 is 61251816620901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109026618152167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143267566180 + ... + 143267566940.

It is an arithmetic number, because the mean of its divisors is an integer number (481200142500).

Almost surely, 2^{109026618152160} is an apocalyptic number.

109026618152160 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 109026618152160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184780854720000).

109026618152160 is an abundant number, since it is smaller than the sum of its proper divisors (260535091287840).

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

109026618152160 is a wasteful number, since it uses less digits than its factorization.

109026618152160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 109026618152160 in words is "one hundred nine trillion, twenty-six billion, six hundred eighteen million, one hundred fifty-two thousand, one hundred sixty".