87015045300000 has 288 divisors, whose sum is σ = 285556494339648. Its totient is φ = 23199408000000.

The previous prime is 87015045299977. The next prime is 87015045300017. The reversal of 87015045300000 is 354051078.

It is a super-2 number, since 2×87015045300000² (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 47 ways as a sum of consecutive naturals, for example, 1674274015 + ... + 1674325985.

It is an arithmetic number, because the mean of its divisors is an integer number (991515605346).

Almost surely, 2^{87015045300000} is an apocalyptic number.

87015045300000 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 87015045300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142778247169824).

87015045300000 is an abundant number, since it is smaller than the sum of its proper divisors (198541449039648).

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

87015045300000 is an equidigital number, since it uses as much as digits as its factorization.

87015045300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57590 (or 57562 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

Adding to 87015045300000 its reverse (354051078), we get a palindrome (87015399351078).

The spelling of 87015045300000 in words is "eighty-seven trillion, fifteen billion, forty-five million, three hundred thousand".