87463638486000 has 2400 divisors, whose sum is σ = 400206679329600. Its totient is φ = 18285494169600.

The previous prime is 87463638485983. The next prime is 87463638486017. The reversal of 87463638486000 is 68483636478.

87463638486000 is a `hidden beast` number, since 87 + 46 + 3 + 6 + 38 + 486 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87463638485983) and next prime (87463638486017).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4373828002 + ... + 4373847998.

It is an arithmetic number, because the mean of its divisors is an integer number (166752783054).

Almost surely, 2^{87463638486000} is an apocalyptic number.

87463638486000 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 87463638486000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200103339664800).

87463638486000 is an abundant number, since it is smaller than the sum of its proper divisors (312743040843600).

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

87463638486000 is a wasteful number, since it uses less digits than its factorization.

87463638486000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20094 (or 20062 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 87463638486000 in words is "eighty-seven trillion, four hundred sixty-three billion, six hundred thirty-eight million, four hundred eighty-six thousand".