109457916480 has 1008 divisors, whose sum is σ = 435596458752. Its totient is φ = 25181798400.

The previous prime is 109457916437. The next prime is 109457916497. The reversal of 109457916480 is 84619754901.

109457916480 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 579 + 1 + 64 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 671520879 + ... + 671521041.

It is an arithmetic number, because the mean of its divisors is an integer number (432139344).

Almost surely, 2^109457916480 is an apocalyptic number.

109457916480 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 109457916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217798229376).

109457916480 is an abundant number, since it is smaller than the sum of its proper divisors (326138542272).

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

109457916480 is a wasteful number, since it uses less digits than its factorization.

109457916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 109457916480 in words is "one hundred nine billion, four hundred fifty-seven million, nine hundred sixteen thousand, four hundred eighty".