87465200027304 has 256 divisors, whose sum is σ = 257933458702080. Its totient is φ = 24418288926720.

The previous prime is 87465200027291. The next prime is 87465200027339. The reversal of 87465200027304 is 40372000256478.

87465200027304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×87465200027304² (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, 102570504 + ... + 103419720.

It is an arithmetic number, because the mean of its divisors is an integer number (1007552573055).

Almost surely, 2^{87465200027304} 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 87465200027304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128966729351040).

87465200027304 is an abundant number, since it is smaller than the sum of its proper divisors (170468258674776).

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

87465200027304 is a wasteful number, since it uses less digits than its factorization.

87465200027304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849740 (or 849736 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 87465200027304 in words is "eighty-seven trillion, four hundred sixty-five billion, two hundred million, twenty-seven thousand, three hundred four".