1251143206560 has 576 divisors, whose sum is σ = 4947988550400. Its totient is φ = 294579597312.

The previous prime is 1251143206549. The next prime is 1251143206613. The reversal of 1251143206560 is 656023411521.

1251143206560 is a `hidden beast` number, since 1 + 2 + 51 + 1 + 43 + 2 + 0 + 6 + 560 = 666.

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 95 ways as a sum of consecutive naturals, for example, 16754586 + ... + 16829094.

It is an arithmetic number, because the mean of its divisors is an integer number (8590257900).

Almost surely, 2^{1251143206560} is an apocalyptic number.

1251143206560 is a gapful number since it is divisible by the number (10) 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 1251143206560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473994275200).

1251143206560 is an abundant number, since it is smaller than the sum of its proper divisors (3696845343840).

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

1251143206560 is a wasteful number, since it uses less digits than its factorization.

1251143206560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74582 (or 74555 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1251143206560 in words is "one trillion, two hundred fifty-one billion, one hundred forty-three million, two hundred six thousand, five hundred sixty".