87640359491280 has 160 divisors (see below), whose sum is σ = 273283438740480. Its totient is φ = 23233299865600.

The previous prime is 87640359491231. The next prime is 87640359491303. The reversal of 87640359491280 is 8219495304678.

It is a happy number.

It is a super-2 number, since 2×87640359491280² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427096705 + ... + 427301855.

It is an arithmetic number, because the mean of its divisors is an integer number (1708021492128).

It is a 1-persistent number, because it is pandigital, but 2⋅87640359491280 = 175280718982560 is not.

Almost surely, 2^{87640359491280} is an apocalyptic number.

87640359491280 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 87640359491280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136641719370240).

87640359491280 is an abundant number, since it is smaller than the sum of its proper divisors (185643079249200).

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

87640359491280 is a wasteful number, since it uses less digits than its factorization.

87640359491280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215629 (or 215623 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 87640359491280 in words is "eighty-seven trillion, six hundred forty billion, three hundred fifty-nine million, four hundred ninety-one thousand, two hundred eighty".