87270382080 has 960 divisors, whose sum is σ = 365852298240. Its totient is φ = 18802409472.

The previous prime is 87270382039. The next prime is 87270382103. The reversal of 87270382080 is 8028307278.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×87270382080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219824442 + ... + 219824838.

It is an arithmetic number, because the mean of its divisors is an integer number (381096144).

Almost surely, 2^87270382080 is an apocalyptic number.

87270382080 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 87270382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182926149120).

87270382080 is an abundant number, since it is smaller than the sum of its proper divisors (278581916160).

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

87270382080 is a wasteful number, since it uses less digits than its factorization.

87270382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 87270382080 in words is "eighty-seven billion, two hundred seventy million, three hundred eighty-two thousand, eighty".