86909548544000 has 1920 divisors, whose sum is σ = 282130475827200. Its totient is φ = 26531463168000.

The previous prime is 86909548543931. The next prime is 86909548544011. The reversal of 86909548544000 is 44584590968.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 283092991847 + ... + 283092992153.

It is an arithmetic number, because the mean of its divisors is an integer number (146942956160).

Almost surely, 2^{86909548544000} is an apocalyptic number.

86909548544000 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 86909548544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141065237913600).

86909548544000 is an abundant number, since it is smaller than the sum of its proper divisors (195220927283200).

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

86909548544000 is an equidigital number, since it uses as much as digits as its factorization.

86909548544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 62.

The spelling of 86909548544000 in words is "eighty-six trillion, nine hundred nine billion, five hundred forty-eight million, five hundred forty-four thousand".