87380835404352 has 224 divisors, whose sum is σ = 272894543741952. Its totient is φ = 24157447243776.

The previous prime is 87380835404323. The next prime is 87380835404383. The reversal of 87380835404352 is 25340453808378.

It is a tau number, because it is divible by the number of its divisors (224).

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, 881623 + ... + 13249110.

Almost surely, 2^{87380835404352} 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 87380835404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136447271870976).

87380835404352 is an abundant number, since it is smaller than the sum of its proper divisors (185513708337600).

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

87380835404352 is a wasteful number, since it uses less digits than its factorization.

87380835404352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14130905 (or 14130895 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 60.

The spelling of 87380835404352 in words is "eighty-seven trillion, three hundred eighty billion, eight hundred thirty-five million, four hundred four thousand, three hundred fifty-two".