16765878804480 has 2240 divisors, whose sum is σ = 69937061040000. Its totient is φ = 3806771281920.

The previous prime is 16765878804397. The next prime is 16765878804503. The reversal of 16765878804480 is 8440887856761.

16765878804480 is a `hidden beast` number, since 1 + 6 + 7 + 65 + 8 + 7 + 8 + 80 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16765878804399 and 16765878804408.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33598955271 + ... + 33598955769.

It is an arithmetic number, because the mean of its divisors is an integer number (31221902250).

Almost surely, 2^{16765878804480} is an apocalyptic number.

16765878804480 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 16765878804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34968530520000).

16765878804480 is an abundant number, since it is smaller than the sum of its proper divisors (53171182235520).

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

16765878804480 is a wasteful number, since it uses less digits than its factorization.

16765878804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 72.

The spelling of 16765878804480 in words is "sixteen trillion, seven hundred sixty-five billion, eight hundred seventy-eight million, eight hundred four thousand, four hundred eighty".