16487510202240 has 1024 divisors, whose sum is σ = 67864200192000. Its totient is φ = 3303788544000.

The previous prime is 16487510202239. The next prime is 16487510202271. The reversal of 16487510202240 is 4220201578461.

16487510202240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 16487510202192 and 16487510202201.

It is a congruent number.

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, 4506013531 + ... + 4506017189.

It is an arithmetic number, because the mean of its divisors is an integer number (66273633000).

Almost surely, 2^{16487510202240} is an apocalyptic number.

16487510202240 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 16487510202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33932100096000).

16487510202240 is an abundant number, since it is smaller than the sum of its proper divisors (51376689989760).

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

16487510202240 is a wasteful number, since it uses less digits than its factorization.

16487510202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4779 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 16487510202240 in words is "sixteen trillion, four hundred eighty-seven billion, five hundred ten million, two hundred two thousand, two hundred forty".