1251873584640 has 800 divisors, whose sum is σ = 5165470531584. Its totient is φ = 283847639040.

The previous prime is 1251873584639. The next prime is 1251873584669. The reversal of 1251873584640 is 464853781521.

It is a happy number.

1251873584640 is a `hidden beast` number, since 1 + 2 + 5 + 18 + 7 + 3 + 584 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 184339645 + ... + 184346435.

Almost surely, 2^{1251873584640} is an apocalyptic number.

1251873584640 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 1251873584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582735265792).

1251873584640 is an abundant number, since it is smaller than the sum of its proper divisors (3913596946944).

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

1251873584640 is an equidigital number, since it uses as much as digits as its factorization.

1251873584640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6960 (or 6935 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 1251873584640 in words is "one trillion, two hundred fifty-one billion, eight hundred seventy-three million, five hundred eighty-four thousand, six hundred forty".