16878045240 has 768 divisors, whose sum is σ = 68497228800. Its totient is φ = 3522355200.

The previous prime is 16878045209. The next prime is 16878045253. The reversal of 16878045240 is 4254087861.

16878045240 is a `hidden beast` number, since 1 + 6 + 87 + 80 + 452 + 40 = 666.

It is a super-2 number, since 2×16878045240² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 128839975 + ... + 128840105.

It is an arithmetic number, because the mean of its divisors is an integer number (89189100).

Almost surely, 2^16878045240 is an apocalyptic number.

16878045240 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 16878045240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34248614400).

16878045240 is an abundant number, since it is smaller than the sum of its proper divisors (51619183560).

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

16878045240 is a wasteful number, since it uses less digits than its factorization.

16878045240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 16878045240 in words is "sixteen billion, eight hundred seventy-eight million, forty-five thousand, two hundred forty".