109587964416 has 640 divisors, whose sum is σ = 368369565696. Its totient is φ = 28240773120.

The previous prime is 109587964411. The next prime is 109587964463. The reversal of 109587964416 is 614469785901.

It is a self number, because there is not a number n which added to its sum of digits gives 109587964416.

It is not an unprimeable number, because it can be changed into a prime (109587964411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 573758881 + ... + 573759071.

Almost surely, 2^109587964416 is an apocalyptic number.

109587964416 is a gapful number since it is divisible by the number (16) 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 109587964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184184782848).

109587964416 is an abundant number, since it is smaller than the sum of its proper divisors (258781601280).

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

109587964416 is a wasteful number, since it uses less digits than its factorization.

109587964416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 109587964416 in words is "one hundred nine billion, five hundred eighty-seven million, nine hundred sixty-four thousand, four hundred sixteen".