109882555332480 has 1536 divisors, whose sum is σ = 504333207705600. Its totient is φ = 21420732579840.

The previous prime is 109882555332467. The next prime is 109882555332493. The reversal of 109882555332480 is 84233555288901.

It is a happy number.

109882555332480 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 8 + 2 + 5 + 553 + 32 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (109882555332467) and next prime (109882555332493).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 299353860 + ... + 299720700.

It is an arithmetic number, because the mean of its divisors is an integer number (328341932100).

Almost surely, 2^{109882555332480} is an apocalyptic number.

109882555332480 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 109882555332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252166603852800).

109882555332480 is an abundant number, since it is smaller than the sum of its proper divisors (394450652373120).

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

109882555332480 is a wasteful number, since it uses less digits than its factorization.

109882555332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366932 (or 366917 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 109882555332480 in words is "one hundred nine trillion, eight hundred eighty-two billion, five hundred fifty-five million, three hundred thirty-two thousand, four hundred eighty".