87246312480 has 144 divisors (see below), whose sum is σ = 298373362560. Its totient is φ = 23215256064.

The previous prime is 87246312463. The next prime is 87246312497. The reversal of 87246312480 is 8421364278.

It is a happy number.

87246312480 is a `hidden beast` number, since 8 + 7 + 2 + 4 + 631 + 2 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87246312463) and next prime (87246312497).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×87246312480² (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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 601291 + ... + 732149.

It is an arithmetic number, because the mean of its divisors is an integer number (2072037240).

Almost surely, 2^87246312480 is an apocalyptic number.

87246312480 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 87246312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149186681280).

87246312480 is an abundant number, since it is smaller than the sum of its proper divisors (211127050080).

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

87246312480 is a wasteful number, since it uses less digits than its factorization.

87246312480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131343 (or 131332 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 87246312480 in words is "eighty-seven billion, two hundred forty-six million, three hundred twelve thousand, four hundred eighty".