2651169800160 has 480 divisors, whose sum is σ = 11255851031040. Its totient is φ = 574087523328.

The previous prime is 2651169800077. The next prime is 2651169800161. The reversal of 2651169800160 is 610089611562.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2651169800161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 954637 + ... + 2492723.

It is an arithmetic number, because the mean of its divisors is an integer number (23449689648).

Almost surely, 2^{2651169800160} is an apocalyptic number.

2651169800160 is a gapful number since it is divisible by the number (20) 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 2651169800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627925515520).

2651169800160 is an abundant number, since it is smaller than the sum of its proper divisors (8604681230880).

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

2651169800160 is a wasteful number, since it uses less digits than its factorization.

2651169800160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538140 (or 1538123 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 2651169800160 in words is "two trillion, six hundred fifty-one billion, one hundred sixty-nine million, eight hundred thousand, one hundred sixty".