87718837248 has 660 divisors, whose sum is σ = 309018264192. Its totient is φ = 24710676480.

The previous prime is 87718837243. The next prime is 87718837267. The reversal of 87718837248 is 84273881778.

87718837248 is a `hidden beast` number, since 87 + 7 + 188 + 372 + 4 + 8 = 666.

It is a super-2 number, since 2×87718837248² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87718837243) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 459260833 + ... + 459261023.

Almost surely, 2^87718837248 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 87718837248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154509132096).

87718837248 is an abundant number, since it is smaller than the sum of its proper divisors (221299426944).

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

87718837248 is a wasteful number, since it uses less digits than its factorization.

87718837248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 316 counting only the distinct ones).

The product of its digits is 33718272, while the sum is 63.

The spelling of 87718837248 in words is "eighty-seven billion, seven hundred eighteen million, eight hundred thirty-seven thousand, two hundred forty-eight".