86748480000 has 1200 divisors, whose sum is σ = 386212322496. Its totient is φ = 18247680000.

The previous prime is 86748479977. The next prime is 86748480023. The reversal of 86748480000 is 8484768.

It is an interprime number because it is at equal distance from previous prime (86748479977) and next prime (86748480023).

It is a tau number, because it is divible by the number of its divisors (1200).

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 119 ways as a sum of consecutive naturals, for example, 262079835 + ... + 262080165.

Almost surely, 2^86748480000 is an apocalyptic number.

86748480000 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 86748480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193106161248).

86748480000 is an abundant number, since it is smaller than the sum of its proper divisors (299463842496).

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

86748480000 is a wasteful number, since it uses less digits than its factorization.

86748480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 86748480000 in words is "eighty-six billion, seven hundred forty-eight million, four hundred eighty thousand".