87442137039488 has 512 divisors, whose sum is σ = 229054965350400. Its totient is φ = 32261898240000.

The previous prime is 87442137039437. The next prime is 87442137039601. The reversal of 87442137039488 is 88493073124478.

It is a super-2 number, since 2×87442137039488² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2637675713 + ... + 2637708863.

It is an arithmetic number, because the mean of its divisors is an integer number (447372979200).

Almost surely, 2^{87442137039488} is an apocalyptic number.

87442137039488 is a gapful number since it is divisible by the number (88) 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 87442137039488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114527482675200).

87442137039488 is an abundant number, since it is smaller than the sum of its proper divisors (141612828310912).

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

87442137039488 is a wasteful number, since it uses less digits than its factorization.

87442137039488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33400 (or 33388 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 68.

The spelling of 87442137039488 in words is "eighty-seven trillion, four hundred forty-two billion, one hundred thirty-seven million, thirty-nine thousand, four hundred eighty-eight".