87265372080 has 160 divisors (see below), whose sum is σ = 289011859200. Its totient is φ = 21716868096.

The previous prime is 87265372079. The next prime is 87265372097. The reversal of 87265372080 is 8027356278.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162706 + ... + 448334.

It is an arithmetic number, because the mean of its divisors is an integer number (1806324120).

Almost surely, 2^87265372080 is an apocalyptic number.

87265372080 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 87265372080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144505929600).

87265372080 is an abundant number, since it is smaller than the sum of its proper divisors (201746487120).

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

87265372080 is a wasteful number, since it uses less digits than its factorization.

87265372080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285731 (or 285725 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 87265372080 in words is "eighty-seven billion, two hundred sixty-five million, three hundred seventy-two thousand, eighty".