16415234642560 has 128 divisors (see below), whose sum is σ = 42397232492160. Its totient is φ = 6041519984640.

The previous prime is 16415234642539. The next prime is 16415234642561. The reversal of 16415234642560 is 6524643251461.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (16415234642561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584482 + ... + 5759521.

It is an arithmetic number, because the mean of its divisors is an integer number (331228378845).

Almost surely, 2^{16415234642560} is an apocalyptic number.

16415234642560 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 16415234642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21198616246080).

16415234642560 is an abundant number, since it is smaller than the sum of its proper divisors (25981997849600).

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

16415234642560 is a wasteful number, since it uses less digits than its factorization.

16415234642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344346 (or 6344334 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 49.

The spelling of 16415234642560 in words is "sixteen trillion, four hundred fifteen billion, two hundred thirty-four million, six hundred forty-two thousand, five hundred sixty".