87758336250 has 400 divisors, whose sum is σ = 269212180776. Its totient is φ = 21228480000.

The previous prime is 87758336249. The next prime is 87758336279. The reversal of 87758336250 is 5263385778.

87758336250 is a `hidden beast` number, since 8 + 7 + 7 + 5 + 8 + 3 + 3 + 625 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 48806971929 + 38951364321 = 220923^2 + 197361^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 80290704 + ... + 80291796.

Almost surely, 2^87758336250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87758336250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134606090388).

87758336250 is an abundant number, since it is smaller than the sum of its proper divisors (181453844526).

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

87758336250 is a wasteful number, since it uses less digits than its factorization.

87758336250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 87758336250 in words is "eighty-seven billion, seven hundred fifty-eight million, three hundred thirty-six thousand, two hundred fifty".