87753798144 has 400 divisors, whose sum is σ = 275285469888. Its totient is φ = 27777835008.

The previous prime is 87753798047. The next prime is 87753798217. The reversal of 87753798144 is 44189735778.

87753798144 is a `hidden beast` number, since 8 + 7 + 7 + 537 + 98 + 1 + 4 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187909399 + ... + 187909865.

Almost surely, 2^87753798144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87753798144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137642734944).

87753798144 is an abundant number, since it is smaller than the sum of its proper divisors (187531671744).

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

87753798144 is a wasteful number, since it uses less digits than its factorization.

87753798144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 692 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The spelling of 87753798144 in words is "eighty-seven billion, seven hundred fifty-three million, seven hundred ninety-eight thousand, one hundred forty-four".