87482989440 has 1024 divisors, whose sum is σ = 396952012800. Its totient is φ = 17677025280.

The previous prime is 87482989439. The next prime is 87482989441. The reversal of 87482989440 is 4498928478.

It is an interprime number because it is at equal distance from previous prime (87482989439) and next prime (87482989441).

It is a super-3 number, since 3×87482989440³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87482989441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49229832 + ... + 49231608.

It is an arithmetic number, because the mean of its divisors is an integer number (387648450).

Almost surely, 2^87482989440 is an apocalyptic number.

87482989440 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 87482989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198476006400).

87482989440 is an abundant number, since it is smaller than the sum of its proper divisors (309469023360).

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

87482989440 is a wasteful number, since it uses less digits than its factorization.

87482989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 87482989440 in words is "eighty-seven billion, four hundred eighty-two million, nine hundred eighty-nine thousand, four hundred forty".