87759189504 has 280 divisors, whose sum is σ = 300466312080. Its totient is φ = 25073307648.

The previous prime is 87759189503. The next prime is 87759189559. The reversal of 87759189504 is 40598195778.

87759189504 is a `hidden beast` number, since 8 + 77 + 59 + 1 + 8 + 9 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87759189503) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2595942 + ... + 2629530.

Almost surely, 2^87759189504 is an apocalyptic number.

87759189504 is a gapful number since it is divisible by the number (84) 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 87759189504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150233156040).

87759189504 is an abundant number, since it is smaller than the sum of its proper divisors (212707122576).

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

87759189504 is an frugal number, since it uses more digits than its factorization.

87759189504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33632 (or 33601 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 87759189504 in words is "eighty-seven billion, seven hundred fifty-nine million, one hundred eighty-nine thousand, five hundred four".