87931819248 has 320 divisors, whose sum is σ = 292786593792. Its totient is φ = 22102502400.

The previous prime is 87931819243. The next prime is 87931819319. The reversal of 87931819248 is 84291813978.

It is a junction number, because it is equal to n+sod(n) for n = 87931819191 and 87931819200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87931819243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30841023 + ... + 30843873.

Almost surely, 2^87931819248 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 87931819248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146393296896).

87931819248 is an abundant number, since it is smaller than the sum of its proper divisors (204854774544).

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

87931819248 is a wasteful number, since it uses less digits than its factorization.

87931819248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3206 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 60.

The spelling of 87931819248 in words is "eighty-seven billion, nine hundred thirty-one million, eight hundred nineteen thousand, two hundred forty-eight".