109877940480 has 1152 divisors, whose sum is σ = 463854698496. Its totient is φ = 21491712000.

The previous prime is 109877940439. The next prime is 109877940509. The reversal of 109877940480 is 84049778901.

It is a self number, because there is not a number n which added to its sum of digits gives 109877940480.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 727668405 + ... + 727668555.

It is an arithmetic number, because the mean of its divisors is an integer number (402651648).

Almost surely, 2^109877940480 is an apocalyptic number.

109877940480 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 109877940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231927349248).

109877940480 is an abundant number, since it is smaller than the sum of its proper divisors (353976758016).

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

109877940480 is a wasteful number, since it uses less digits than its factorization.

109877940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 109877940480 in words is "one hundred nine billion, eight hundred seventy-seven million, nine hundred forty thousand, four hundred eighty".