87309902880 has 576 divisors, whose sum is σ = 329103710208. Its totient is φ = 20981514240.

The previous prime is 87309902879. The next prime is 87309902881. The reversal of 87309902880 is 8820990378.

It is an interprime number because it is at equal distance from previous prime (87309902879) and next prime (87309902881).

It is not an unprimeable number, because it can be changed into a prime (87309902881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78164082 + ... + 78165198.

It is an arithmetic number, because the mean of its divisors is an integer number (571360608).

Almost surely, 2^87309902880 is an apocalyptic number.

87309902880 is a gapful number since it is divisible by the number (80) 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 87309902880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164551855104).

87309902880 is an abundant number, since it is smaller than the sum of its proper divisors (241793807328).

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

87309902880 is a wasteful number, since it uses less digits than its factorization.

87309902880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 87309902880 in words is "eighty-seven billion, three hundred nine million, nine hundred two thousand, eight hundred eighty".