16761572145150 has 384 divisors, whose sum is σ = 49460834304000. Its totient is φ = 3675905625600.

The previous prime is 16761572145137. The next prime is 16761572145151. The reversal of 16761572145150 is 5154127516761.

It is a junction number, because it is equal to n+sod(n) for n = 16761572145093 and 16761572145102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16761572145151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2033426929 + ... + 2033435171.

It is an arithmetic number, because the mean of its divisors is an integer number (128804256000).

Almost surely, 2^{16761572145150} is an apocalyptic number.

16761572145150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16761572145150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24730417152000).

16761572145150 is an abundant number, since it is smaller than the sum of its proper divisors (32699262158850).

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

16761572145150 is a wasteful number, since it uses less digits than its factorization.

16761572145150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8824 (or 8819 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 51.

The spelling of 16761572145150 in words is "sixteen trillion, seven hundred sixty-one billion, five hundred seventy-two million, one hundred forty-five thousand, one hundred fifty".