2151032889600 has 1701 divisors, whose sum is σ = 9382554710487. Its totient is φ = 486595952640.

The previous prime is 2151032889563. The next prime is 2151032889611. The reversal of 2151032889600 is 69882301512.

The square root of 2151032889600 is 1466640.

It is a perfect power (a square), and thus also a powerful number.

2151032889600 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 0 + 32 + 8 + 8 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79091437824 + 2071941451776 = 281232^2 + 1439424^2 .

It is a tau number, because it is divible by the number of its divisors (1701).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 22175596752 + ... + 22175596848.

Almost surely, 2^{2151032889600} is an apocalyptic number.

2151032889600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2151032889600 is the 1466640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151032889600

2151032889600 is an abundant number, since it is smaller than the sum of its proper divisors (7231521820887).

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

2151032889600 is an frugal number, since it uses more digits than its factorization.

2151032889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 2151032889600 in words is "two trillion, one hundred fifty-one billion, thirty-two million, eight hundred eighty-nine thousand, six hundred".