2151085321560 has 384 divisors, whose sum is σ = 8060404400640. Its totient is φ = 456235315200.

The previous prime is 2151085321523. The next prime is 2151085321607. The reversal of 2151085321560 is 651235801512.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6945615 + ... + 7248705.

It is an arithmetic number, because the mean of its divisors is an integer number (20990636460).

Almost surely, 2^{2151085321560} is an apocalyptic number.

2151085321560 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 2151085321560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030202200320).

2151085321560 is an abundant number, since it is smaller than the sum of its proper divisors (5909319079080).

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

2151085321560 is a wasteful number, since it uses less digits than its factorization.

2151085321560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303207 (or 303196 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 2151085321560 in words is "two trillion, one hundred fifty-one billion, eighty-five million, three hundred twenty-one thousand, five hundred sixty".