16133039220480 has 1152 divisors, whose sum is σ = 66236196096000. Its totient is φ = 3255609065472.

The previous prime is 16133039220407. The next prime is 16133039220559. The reversal of 16133039220480 is 8402293033161.

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

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, 762816946 + ... + 762838094.

It is an arithmetic number, because the mean of its divisors is an integer number (57496698000).

Almost surely, 2^{16133039220480} is an apocalyptic number.

16133039220480 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 16133039220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33118098048000).

16133039220480 is an abundant number, since it is smaller than the sum of its proper divisors (50103156875520).

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

16133039220480 is a wasteful number, since it uses less digits than its factorization.

16133039220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21289 (or 21275 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 16133039220480 in words is "sixteen trillion, one hundred thirty-three billion, thirty-nine million, two hundred twenty thousand, four hundred eighty".