2251351065600 has 3168 divisors, whose sum is σ = 10648153641216. Its totient is φ = 458647142400.

The previous prime is 2251351065581. The next prime is 2251351065619. The reversal of 2251351065600 is 65601531522.

2251351065600 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 35 + 10 + 6 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (2251351065581) and next prime (2251351065619).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23209804752 + ... + 23209804848.

Almost surely, 2^{2251351065600} is an apocalyptic number.

2251351065600 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 2251351065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324076820608).

2251351065600 is an abundant number, since it is smaller than the sum of its proper divisors (8396802575616).

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

2251351065600 is a wasteful number, since it uses less digits than its factorization.

2251351065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 2251351065600 in words is "two trillion, two hundred fifty-one billion, three hundred fifty-one million, sixty-five thousand, six hundred".