86623764480000 has 1620 divisors, whose sum is σ = 344072970845604. Its totient is φ = 20978073600000.

The previous prime is 86623764479983. The next prime is 86623764480061. The reversal of 86623764480000 is 8446732668.

86623764480000 is a `hidden beast` number, since 8 + 6 + 623 + 7 + 6 + 4 + 4 + 8 + 0 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 89210879515 + ... + 89210880485.

Almost surely, 2^{86623764480000} is an apocalyptic number.

86623764480000 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 86623764480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172036485422802).

86623764480000 is an abundant number, since it is smaller than the sum of its proper divisors (257449206365604).

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

86623764480000 is an frugal number, since it uses more digits than its factorization.

86623764480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 86623764480000 in words is "eighty-six trillion, six hundred twenty-three billion, seven hundred sixty-four million, four hundred eighty thousand".