87465000000 has 896 divisors, whose sum is σ = 357186585600. Its totient is φ = 18816000000.

The previous prime is 87464999959. The next prime is 87465000079. The reversal of 87465000000 is 56478.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5950 × 5250 × 2800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5144999992 + ... + 5145000008.

Almost surely, 2^87465000000 is an apocalyptic number.

87465000000 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 87465000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178593292800).

87465000000 is an abundant number, since it is smaller than the sum of its proper divisors (269721585600).

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

87465000000 is an frugal number, since it uses more digits than its factorization.

87465000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 87465000000 its reverse (56478), we get a palindrome (87465056478).

The spelling of 87465000000 in words is "eighty-seven billion, four hundred sixty-five million", and thus it is an aban number.